Prof. Dr. Allaberen Ashyralyev, 1955 yılında Türkmenistan’ın Könekesir Köyü’nde doğdu. 1972 yılında Könekesir’de liseyi altın madalya ödülü ile bitirdi. Lisans eğitimi sırasında öğrenciler için verilen Lenin bursu ile ödüllendirildi (1974-1977). 1977 yılında da Türkmen Devlet Üniversitesi Matematik Bölümü’nden birincilik derecesi ile mezun oldu. 1983’de Voronezh Devlet Üniversitesi’nde doktorayı ve 1992 yılında aynı üniversiteden ve Ukrayna Bilimler Akademisi Matematik Enstitüsü’nden Bilimler Doktorasını kazandı. Ashyralyev 1983 yılında doktora mezuniyetinde doktora öğrencileri için verilen Birinci Rütbe Ödülü ile mükâfatlandırıldı. 1979,1985, 1991 yıllarında Voronezh Devlet Üniversitesi ve 1987-1988 yılları arasında ABD Santa Barbara Kaliforniya Üniversitesi‘nde misafir araştırmacı olarak çalıştı.

1977-1999 yıllarında kariyerine Türkmen Devlet Üniversitesi Matematik Bölümü’nde öğretim görevlisi, Yrd. Doç. (1985), Doçent (1989), Profesör (1996) olarak devam etti. 1996 yılında Türkmenistan Eğitim Bakanlığı tarafından Türkmenistan’ın Başöğretmen (Üstad Muallim) unvanı ile ödüllendirildi.

Profesör Ashyralyev, 1999’dan 30 Haziran 2016 yılına kadar Türkiye FU de Matematik Bölümü ve İlköğretim Matematik Bölümü’nde öğretim üyesi ve Türkmenistan ITTU de misafir öğretim üyesi olarak çalıştı. 2015 yılından beri Almatı, Kazakistan Matematiksel Modelleme Enstitüsü’nde, 2017 den beri ise Rusya Halkların Kardeşliği (RUDN) Üniversitesi’nde misafir profesör olarak çalışmaktadır.

Ashyralyev, Eylül 2016’da Yakın Doğu Üniversitesi Matematik Bölümü’nde Profesör olarak çalışmaya başladığı görevini halen sürdürmektedir. A. Ashyralyev’in araştırma alanı geniştir ve nümerik fonksiyonel analizin, diferansiyel fark problemlerinin iyi tanımlılığı, kısmi diferansiyel denklemler için yüksek dereceden doğruluklu fark şemalarının oluşturulması ve araştırılması, düzgün fark şemaları ve kısmi diferansiyel denklemlerde singüler pertürbasyon problemleri için asimptotik formüller, Banach uzaylarında pozitif diferansiyel ve fark operatörleri ile üretilen kesirli uzayların yapısı, diferansiyel ve fark operatörlerinin pozitifliğinin çalışılması, stokastik kısmi diferansiyel denklemler için fark şemalarının araştırılması, tanımlama problemleri, kesirli kalkülüs ve matematiksel modelleme gibi birçok farklı problemini içermektedir.

Profesör Ashyralyev’in (214 kadarı Web of Science dergi yayınları) yayınlanmış olan 350 den fazla bilimsel makalesi bulunmaktadır. Ayrıca ikisi Birkhauser-Verlag on Operator Theory: Advances and Applications yayınevi tarafından basılmış olan monografi kitabı olan toplamda 12 kitabı basılmıştır. Prof. Ashyralyev, AIP konferans kitapçığının 4 cildinin eş editörlüğü ve Uluslararası ISI dergilerin özel sayılarının 6 cildinin misafir editörlüğünü yapmıştır. 23 Doktora ve 28 Yüksek lisans öğrencisinin danışmalığını yapmıştır.

Dr. Ashyralyev’in Türkmenistan ve Türkiye’de bilim ve teknolojiye büyük katkısı olmuştur ve yaptığı ulusal araştırma ve katıldığı akademik organizasyon sayısına bakılarak bu katkı ölçülebilir. Ayrıca bilim ve teknolojiye Uluslararası düzeyde hatırı sayılır bir katkısı vardır ki bunun en büyük kanıtı ABD, Almanya, Suudi Arabistan, Rusya, Polonya, İspanya, Brezilya, Macaristan, Özbekistan, Azerbaycan, Nijerya, Libya, Bulgaristan, Cezayir, Kırgızistan ve Kazakistan gibi farklı devletlerden araştırmacılarla yaptığı ortak çalışmalardır.

Prof. Ashyralyev, 2015 yılında Merkezi Asya Bölgesinden Dünya Bilim Araştırmacıları içinde Thomson-Reuters Bilim Lideri ve 2012 yılında Dünya İslam Bilimleri Akademisinin üyesi olarak seçilmiştir. 2017’de Türk Dünyası Matematik Topluluğu (TWMS) tarafından Matematiksel Bilimin gelişimine önemli ölçüde katkısından dolayı diploma ile ödüllendirilmiştir.

**CV**

**Name Surname :**Allaberen ASHYRALYEV**Date of Birth :**01/08/1955**Title :**Prof.Dr.**University :**Near East University

Degree | Department | University | Year |

MS | Department of Mathematics | Turkmen State University(with an exceptional diploma) | 1977 |

PhD | Department of Mathematics | Voronezh State University | 1983 |

PhD (Doctor of Sciences) | Institute of Mathematics | Academy of Sciences of Ukraine | 1992 |

**Academic Titles**

Assist.Prof.Dr. : 1984-1987

Assoc.Prof.Dr. : 1989-1995

Prof.Dr. :1995-present

**Master Thesis and TopicsAdvisor(s):**

**6.1. Master Thesis**

**1**. Necmettin Ağgez, Difference schemes of nonlocal boundary value problems for hyperbolic

equations, 2002.

**2**. Nejla Altay, Difference schemes of nonlocal boundary value problems for elliptic equations,**3**. Yıldırım Özdemir, Difference schemes of nonlocal boundary value problems for hyperbolic-

parabolic equations, 2005.

**4**. Mehmet Emir Köksal, An investigation of the difference schemes for hyperbolic equations, 2005.**5**. Okan Gerçek, Nonlocal boundary value problems for parabolic-elliptic equations, 2006.**6**. Abdulah S. Erdoğan, Numerical solutions of partial differential equation with variable space

operator and its applications, 2007.

**7**. Özgür Yıldırım, Multipoint nonlocal boundary value problems for hyperbolic equations,**8**. Elif Öztürk, Numerical solutions of the nonlocal boundary value problems for elliptic differential

equations, 2008.

**9**. Fatma Songül Özesenli Tetikoğlu, Difference schemes for NBS problems,**10**. Zehra Pınar, Difference schemes for fractional partial differential equations, 2009

(co-supervisor F. Dal).

**11**. Esat Gezgin, Positive operator’s method for difference schemes,**12**. Ayfer Dural, Numerical solution of the parabolic inverse problem,**13**. Öznur Demirdağ. Numerical solutions of partial differential equations with parameter,**14**. Betül Topçu, Difference schemes for fractional partial differential equations, 2010.**15**. Neşe Nalbant, The structure of fractional spaces generated by positive operators and its

applications, 2011.

- Abdulgafur Taşkın, Numerical solutions of partial differential equations transport neutron, 2011.
**17**. Fatih Sabahattin Tetikoğlu. The structure of fractional spaces generated by positive operators with

periodic conditions and its applications, 2012.

**18**. Hülya Uygun. Numerical solution of fractional parabolic inverse problem with an unknown source

function, 2012(co-supervisor A.S. Erdogan).

**19**. Fatih Hezenci, The boundary value problem for a third order partial differential equation,

2013 (co-supervisor Necmettin AĞGEZ).

**20**. Ali Uğur Sazaklıoğlu, Numerical solution of identification problems for parabolic equations arising

in biomechanics, ( co-supervisor A.S. Erdogan).

**21**. Emel Zusi, Numerical solutions for two dimensional elliptic-parabolic equations, 2013

(co-supervisor O. Gerçek).

22. Mesut Ürün, Determination of a control parameter for the Shrödinger’s equation, 2013.23. Sueda Nur Takalan, Numerical solution of problems for partial differential equations arising in lakepollution models, 2014 (co-supervisor A.S. Erdogan).
equations, 2014.
(co-supervisor Deniz Agirseven).
(co-supervisor Deniz Agirseven).
equations, 2018. |

**6.2. PhD Thesis**

- İbrahim Karatay, Well-posedness of difference schemes for nonlocal parabolic problems, 2004.
- Yıldırım Özdemir, Nonlocal boundary value problems for parabolic-hyperbolic differential and

difference equations, 2007(co-supervisor T. Aliev).

- Ali Sırma, Nonlocal boundary value problems for Schrodinger’s equation,2007

(co-supervisor C. Yakar)

- Mehmet Emir Köksal, Two-step difference schemes for hyperbolic differential equations, 2009

(co-supervisor C. Yakar).

- Abdulah S. Erdoğan, Numerical solution of parabolic inverse problem with an unknown source

function, 2010(co-supervisor A.Kara).

- Okan Gerçek, Difference schemes of nonlocal boundary value problems for elliptic-parabolic

differential equations, 2010(co-supervisor Z. Soyucok).

- Özgür Yıldırım, Stable difference schemes for hyperbolic problems subject to nonlocal conditions,

2011(co-supervisor M. Cagliyan).

- Necmettin Ağgez, Nonlocal boundary value problems with integral conditions for hyperbolic

equations, 2011.

- Mehmet Emin San, An approximation of semigroups method for stochastic parabolic equations,

2012(co-supervisor M.Caglar).

- Fatma Somgül Özesenli Tetikoğlu, Nonlocal boundary value problems for elliptic differential and

difference equations, 2012.

- Serhat Yılmaz, Ultra parabolic differential and difference equations, 2013.
- Elif Öztürk, Nonlocal boundary value problems for elliptic differential and difference equations,

2013(co-supervisor S. Hizliyel).

- Sema Kaplan, The structure of fractional spaces generated by positive operators with nonlocal

conditions and its applications, 2014(co-supervisor Yaşar Sozen).

- A.N. Urmatova, Mathematical modeling of the dynamic characteristics of gas-droplet distribution in

a multi-channel mix mass-transfer apparatus, 2014 (co-supervisor Bahtiyar Ismailov).

- Betül Topçu, Difference schemes for fractional Schrödinger equations, 2015(co-supervisor T. Aliev).
- Mahmut Modanlı, Nonlocal boundary value problems for telegraph differential and difference

equations, 2015.

- Mutlu Dedetürk. Finite difference metdod for the determination of the right-hand side in a elliptic

equation, 2015 (co-supervisor Charyyar Ashyralyyev).

- Fatih Sabahattin Tetikoğlu, Fractional spaces generated by positive differential and difference

operators with periodic conditions and their applications, 2015.

- Abdulgafur Taşkın. Fractional spaces generated by positive differential and difference neutron

transport operators, 2016.

- Neşe Nalbant, The structure of fractional spaces generated by positive operators with the

nonlocal condition and their applications, 2016 (co-supervisor Yaşar Sozen).

- Bahriye Karaca, Dirichlet problem for partial differential equations with complex variables, 2017

(co-supervisor Kazim Ilhan Ikeda).

- Asker Resulovich Hanalyev, Coercive solvability of the Cauchy problem and nonlocal boundary

value problems for parabolic equations,2017(co-supervisor Leonid Efimovich Rossovsky).

- Belakroum Kheireddine, Well-posedness of a third order partial differential equation, 2018

(co- supervisor Guezane-Lakoud Assia).

**Publications**

**7.1. Papers published in internationally refereed journals (SCI, SSCI, Arts and Humanities)**

- Ashyralyev A. and Sobolevskii P. E. 1984. Theory of the interpolation of the linear operators and the stability of the difference schemes, Dokl. Akad. Nauk SSSR, vol. 275, no. 6, 1289-1291.
- Ashiraliev A. and Sobolevskii P. E. 1988. Differential schemes of a high order of accuracy for parabolic equations with the variable coefficients, Dokl. Akad. Nauk Ukrainian SSR, Ser. À Fiz.-math. and Tech. sciences, no. 6, 3-7.
- Ashyralyev, A. 1989. On the uniform difference schemes of a high order of approximation for evolution equations with a small parameter. Numerical Functional Analysis & Optimization, vol. 10, no 5& 6, 593-406.
- Ashyralyev, A. 1990.On the uniform difference schemes of a higher order of the approximation for equations with a small parameter. Applicable Analysis, vol. 36, 211-220.
- Ashyralyev, A., Fattorini H.O. 1992. On uniform difference schemes for second order singular perturbation problems in Banach spaces. SIAM J. Math. Analysis, 23 (1), 29-54.
- Ashyralyev A. 1992. Correct solvability of the Pade difference schemes for parabolic equations in Holder spaces, Ukraine Math J., vol. 44, no. 11, 1466-1476.
- Ashyralyev, A., Sobolevskii, P.E.1995. Well-posed solvability of the Cauchy problem for the difference equations of the parabolic type. Nonlinear Analysis: Theory, Methods and Applications, vol. 24, no. 2, 257-264.
- Ashyralyev, A. 1995. Well-posed solvability of the boundary value problem for the difference equations of the elliptic type. Nonlinear Analysis:Theory, Methods and Applications, vol. 24, no. 2, 251-256.
- Ashyralyev, A., Akca, H. 2001.Stability properties of difference schemes for neutral delay differential equations. Nonlinear Analysis: Theory, Methods and Applications, vol.44, 443-452.
- Ashyralyev, A.,Yurtsever, A. 2001.On a nonlocal boundary value problem for semilinear hyperbolic-parabolic equations. Nonlinear Analysis: Theory, Methods and Applications, 47, 3585-3592.
- Ashyralyev, A., Hanalyev, A., Sobolevskii, P.E. 2001. Coercive solvability of nonlocal boundary value problem for parabolic differential equations. Abstract and Applied Analysis, vol. 6(1), 53-61.
- Ashyralyev, A., Sobolevskii, P.E.2001. A note on the difference schemes for hyperbolic equations. Abstract and Applied Analysis, vol6(2), 63-70.
- Ashyralyev, A.,Sobolevskii,P.E. 2001.On the stability of the delay differential and difference equations.Abstract and Applied Analysis, vol. 6(5), 267-297.
- Ashyralyev, A.,Piskarev, S.,Weis, L. 2002. On well-posedness of the difference schemes for abstract parabolic equations in Numerical Functional Analysis & Optimization, vol. 23, no.7&8, 669-693.
- Ashyralyev, A. 2003. On well-posedness of the nonlocal boundary value problem for elliptic equations. Numerical Functional Analysis & Optimization, vol. 24, no.1&2, 1-15.
- Ashyralyev, A., Akca, H., Yenicerioglu, F. 2003. Stability properties of difference schemes for neutral differential equations. Differential Equations and Applications (Eds. Cho, et al.) Science Publ., NY,vol.3,57-66.
- Ashyralyev, A. 2004. Nonlocal Boundary value problems for partial differential equations: well-posedness.Global Analysis and Applied Mathematics-Book Series: AIP Conference Proceedings, 729, 325-331.
- Ashyralyev, A., Karatay, I., Sobolevskii,P.E. 2004. On well-posedness of the nonlocal boundary value problem for parabolic difference equations. Discrete Dynamics in Nature and Society, vol.2004, no.2, 273-286.
- Ashyralyev, A., Aggez, N. 2004. A note on the difference schemes of the nonlocal boundary value problems for hyperbolic equations. Numerical Functional Analysis & Optimization, vol. 25, no. 5&6, 439-462.
- Ashyralyev, A., Yurtsever, A. 2004. A note on the second order of accuracy difference schemes for hyperbolic- parabolic equations in a Hilbert space. Proceedings of Dynamic Systems and Applications, 4, 556-563.
- Ashyralyev, A., Sobolevskii, P. E. 2004. On the two- step the high order of accuracy difference schemes for the second order differential equations. Proceedings of Dynamic Systems and Applications, 4, 528-535.
- Ashyralyev, A., Yurtsever, A. 2005. A note on the second order of accuracy difference schemes for hyperbolic-parabolic equations, Applied Mathematics and Computation, vol. 165, 517-537.
- Ashyralyev, A., Sobolevskii, P. E. 2005. Two new approaches for construction of the high order of accuracy difference schemes for hyperbolic differential equations. Discrete Dynamics in Nature and Society, vol.2005, 2, 183-213.
- Ashyralyev, A., Ozdemir, Y.2005.Stability of difference schemes for hyperbolic-parabolic equations. Computers and Mathematics with Applications, vol. 50, no.8-9, 1443-1476.
- Ashyralyev, A., Koksal, M. E.2005.On the second order of accuracy difference scheme for hyperbolic equations in a Hilbert space. Numerical Functional Analysis & Optimization, vol. 26, no.7-8, 739-772.
- Ashyralyev, A., Judakova, G., Sobolevskii, P.E. 2006. A note on the difference schemes for hyperbolic-elliptic equations, Abstract and Applied Analysis, 2006, 1-13.
- Ashyralyev, A., Sobolevskii, P.E.2006. Well-posedness of the difference schemes of the high order of accuracy for elliptic equations. Discrete Dynamics in Nature and Society, vol.2006, 1-12.
- Ashyralyev, A., Altay,2006. A note on the nonlocal boundary value problem for elliptic difference equations. Applied Mathematics and Computation, 175, 49-60.
- Ashyralyev, A. 2006. Nonlocal boundary value problems for abstract parabolic equations: well-posedness in Bochner spaces. Journal of Evolution Equations,6, no.1, 1-28.
- Ashyralyev, A.,Yurtsever, A. 2006. On the stability of the second order of accuracy difference schemes for hyperbolic-parabolic equations. Computers and Mathematics with Applications, 52, no. 3-4, 259-268.
- Ashyralyev, A. 2007. Well-posedness of the modified Crank-Nicholson difference schemes in Bochner spaces. DCDS-B, vol.7, no.1, 29-51.
- Ashyralyev, A. 2007. Well-posedness of the boundary value problem for parabolic equations in difference analogues of spaces of smooth functions. Mathematical Problems in Engineering, 2007, Article ID 90815, pp:16.
- Ashyralyev, A., Sozen, Y., Sobolevskii, P. E. 2007. A note on the parabolic differential and difference Abstract and Applied Analysis, vol.2007, Article ID 61659, pp: 16.
- Ashyralyev, A., Arjmand, D. 2007. A note on the Taylor’s decomposition on four points for a third-order differential equation. Applied Mathematics and Computation, 188, no.2, 1483-1490.
- Ashyralyev, A., Erdogan, A.S., Arslan, N. 2007. On the numerical solution of the diffusion equation with variable space operator. Applied Mathematics and Computation, 189, no.1, 682-689.
- Ashyralyev, A., Ozdemir, Y. 2007. On nonlocal boundary value problems for hyperbolic-parabolic equations.Taiwanese Journal of Mathematics, 11, no.3, 1077-1091.
- Ashyralyev, A., Koksal, M.E. 2007. On the stability of the second order of accuracy difference scheme for hyperbolic equations. Discrete Dynamics in Nature and Society, 2007, Article ID 57491, pp: 26.
- Ashyralyev, A., Sirma, A. 2008. Nonlocal boundary value problems for the Schrodinger equation. Computers and Mathematics with Applications, v 55, no.3, 392-407.
- Ashyralyev, A., Cuevas, C., Piskarev, S. 2008.On well-posedness of difference schemes for abstract elliptic problems in spaces, Numerical Functional Analysis & Optimization, vol.29, no.1-2, 43-65.
- Ashyralyev, A. 2008. On modified Crank-Nicholson difference schemes for stochastic parabolic equation. Numerical Functional Analysis & Optimization, vol.29, 3-4, 268-282.
- Ashyralyev, A. 2008. A note on the Bitsadze-Samarskii type nonlocal boundary value problem in a Banach space. Journal of Mathematical Analysis and Applications, vol. 344, no.1, 557-573.
- Arslan, N., Erdogan, A.S., Ashyralyev, A. 2008. Computational Fluid Flow Solution over Endothelial Cells inside Capillary Vascular System. International Journal for Numerical Methods in Engineering, 74, 1679-1689.
- Ashyralyev, A., Koksal, M.E. 2008. A numerical solution of wave equation arising in non-homogeneous cylindrical shells. Turkish Journal of Mathematics,
**32****(**4), 407-419. - Ashyralyev, A., Gercek, O. 2008. Nonlocal boundary value problems for elliptic-parabolic difference equations. Discrete Dynamics in Nature and Society, vol.2008, 1-16.
- Ashyralyev, A. 2009. Well-posedness of the difference schemes for elliptic equations in Applied Mathematics Letters, vol. 22, Issue 3, 390-395.
- Ashyralyev, A. 2009. A note on fractional derivatives and fractional powers of operators. of Mathematical Analysis and Applications, vol. 357,1, 232-236.
- Ashyralyev, A., Koksal, M.E. 2009. On the numerical solution of hyperbolic PDEs with variable space operators. Numerical Methods for Partial Differential Equations, vol.25, 5, 1086-1099.
- Ashyralyev, A., Ozdemir, Y. 2009. On stable implicit difference scheme for hyperbolic-parabolic equations in a Hilbert space. Numerical Methods for Partial Differential Equations, 25, Issue 5, 1100-1118.
- Ashyralyev, A., Sirma, A. 2009. Modified Crank-Nicholson difference schemes for nonlocal boundary value problem for the Schrödinger equation. Discrete Dynamics in Nature and Society, vol.2009, 1-16.
- Ashyralyev, A., Arjmand, D., Koksal, M.2009. Taylor’s decomposition on four points for solving third-order linear time-varying systems. of the
*Franklin Institute Engineering and Applied Mathematics*, vol.346, 651-662. - Ashyralyev, A., Dal F., Pinar, Z. 2009. On the numerical solution of fractional hyperbolic partial differential equations. Mathematical Problems in Engin., 2009, Article ID 730465, 1-11.
- Ashyralyev, A., Sirma, A. 2009.A note on the numerical solution of the semilinear Schrödinger equation.Nonlinear Analysis: Theory, Methods & Applications, vol.71,e2507-e2516.
- Ashyralyev, A.,Yildirim, O. 2010. On multipoint nonlocal boundary value problems for hyperbolic differential and difference equations. Taiwanese Journal of Mathematics, 14, no.1, 165-194.
- Ashyralyev, A., Erdogan, A.S., Arslan, N. 2010. On the modified Crank-Nicholson difference schemes for parabolic equation with non-smooth data arising in biomechanics. International Journal for Numerical Methods in Biomedical Engineering, vol. 26, no. 5, 501-510.
- Ashyralyev, A., Koksal, E.M., Agarwal 2010. A difference scheme for Cauchy problem for hyperbolic equation with self-adjoint operator. Mathematical and Computer Modelling, vol.52, 409-424.
- Ashyralyev, A., Sozen Y.2010. Well-posedness of parabolic differential and difference equations. Computers and Mathematics with Applications, vol. 60, 792-802.
- Ashyralyev, A., Gercek, O. 2010. On second order of accuracy difference scheme of the approximate solution of nonlocal elliptic-parabolic problems. Abstract and Applied Analysis, 2010, Article ID 705172,pp:17.
- Ashyralyev, A., Misirli, E., Mogol, O. 2010.A note on the integral inequalities with two dependent limits. Journal of Inequalities and Applications, vol. 2010 (2010), Article ID 430512, pp:18.
- Ashyralyev, A., Gercek, O. 2010. Finite difference method for multipoint nonlocal elliptic-parabolic problems. Computers and Mathematics with Applications, vol. 60(7), 2043-2052.
- Ashyralyev, A. 2011. On a problem of determining the parameter of a parabolic equation. Ukranian Mathematical Journal, vol. 62, no.9, 1200-1210.
- Ashyralyev, A., Dal, F., Pinar, Z. 2011. A note on the fractional hyperbolic differential and difference equations. Applied Mathematics and Computation, vol. 217, Issue 9, 4654-4664.
- Ashyralyev, A.. 2011. On the well-posedness of the nonlocal boundary value problem for elliptic-parabolic equations, Electronic Journal of Qualitive Theory of Differential Equations, Issue: 49, Pages: 1-16.
- Ashyralyev, A., Aggez,2011. Finite difference method for hyperbolic equations with the nonlocal integral condition. Discrete Dynamics in Nature and Society, vol. 2011,Article ID 562385, pp: 1-15 .
- Ashyralyev, A., Hicdurmaz, B.2011. A note on the fractional Schrödinger differential and difference equations. Kybernetes, vol. 40, Issue 3-10, pp:1-15 .
- Ashyralyev, A. 2011.Well-posedness of the Basset problem in spaces of smooth functions. Applied Mathematics Letters, vol. 24, 7, 1176-1180.
- Ashyralyev, A., Koksal, M. E., Agarwal, Ravi P. 2011. An operator-difference scheme for abstract Cauchy problems. Computers and Mathematics with Applications, v 61, Issue 7, 1855-1872.
- Ashyralyev, A., Yildirim, O. 2011. Stable difference schemes for the hyperbolic problems subject to nonlocal boundary conditions with self-adjoint operator. Applied Mathematics and Computation, Volume:218Issue:3Special Issue:SIPages:1124-113.
- Ashyralyev, A., Sözen, Y. 2011. A note on the parabolic equation with an arbitrary parameter at the derivative, Mathematical and Computer Modelling, Volume: 54 Issue: 11-12 Pp: 2565-2572.
- Allaberen Ashyralyev and Fadime Dal. 2012. Finite Difference and Iteration Methods for Fractional Hyperbolic Partial Differential Equations with the Neumann Condition, Discrete Dynamics in Nature and Society, vol. 2012, Article ID 434976, 15 pages.
- Ashyralyev A. 2012. Well-Posedness of the Modified Crank-Nicholson Difference Schemes in spaces, Applied Mathematics & Information Sciences, vol. 6, no.3, 543-554.
- Ashyralyev A. and Yilmaz S. 2012. An Approximation of Ultra Parabolic Equations, Abstract and Applied Analysis, vol. 2012, Article ID 840621, 14 pages.
- Ashyralyev A. and Gercek O. 2012. On the second order of accuracy implicit difference scheme for elliptic-parabolic equations, Abstract and Applied Analysis, vol. 2012, Article ID 230190, 13 pages.
- Ashyralyev A. and Amanov D. 2012. Initial-Boundary Value Problem for Fractional Partial Differential Equations of Higher Order, Abstract and Applied Analysis, vol. 2012, Article ID 973102, 16 pages.
- Ashyralyev A. and Sharifov Y.A. 2012. Existence and Uniqueness of Solutions of the System of Nonlinear Fractional Differential Equations with Nonlocal and Integral Boundary Conditions, Abstract and Applied Analysis, vol. 2012, Article ID 594802, 14 pages.
- Ashyralyev A. and Hicdurmaz B. 2012. On the numerical solution of fractional Schrödinger differential equations with the Dirichlet condition. CMMSE-2011, International Journal of Computer Mathematics, 1-11.
- Ashyralyev A. and Gercek O. 2012. On a difference scheme of the second order of accuracy for elliptic-parabolic equations, Boundary Value Problems, vol. 2012, 80, 15 pages.
- Ashyralyev A. and Ozturk E. 2012. The Numerical Solution of Bitsadze-Samarskii Nonlocal Boundary Value Problems with the Dirichlet-Neumann Condition, Abstract and Applied Analysis, vol. 2012, Article ID 730804, 13 pages.
- Ashyralyev A. and Öztürk E. 2012. On a difference scheme of fourth-order of accuracy for the Bitsadze-Samarskii type nonlocal boundary value problem, Mathematical Methods in the Applied Sciences, 18 pages.
- Ashyralyev A. and Zafer Çakir. 2012. On the Numerical Solution of Fractional Parabolic Partial Differential Equations with the Dirichlet Condition, Discrete Dynamics in Nature and Society, vol. 2012, Article ID 696179, 15 pages.
- Ashyralyev A. and Ozesenli Tetikoglu Fatma S. 2012. FDM for Elliptic Equations with Bitsadze-Samarskii-Dirichlet Conditions, Abstract and Applied Analysis, vol. 2012, Article ID 454831, 22 pages.
- Ashyralyev A. and Yıldırım O. 2012. A Note On the Second Order of Accuracy Stable Difference Schemes for the Nonlocal Boundary Value Hyperbolic Problem, Abstract and Applied Analysis, vol. 2012, Article ID 846582, 29 pages.
- Ashyralyev A. and Öztürk E . 2012. On Bitsadze-Samarskii Type Nonlocal Boundary Value Problems for Elliptic Differential and Difference Equations: Well-Posedness, Applied Mathematics and Computation, Vol 219, Issue 3, 1093-1107.
- Ashyralyev A., Erdogan A.S. and Demirdag O. 2012.On the determination of the right-hand side in a parabolic equation, Applied Numerical Mathematics,Vol. 62, Issue 11, 1672-1683.
- Ashyralyev A. and Yilmaz S. 2012.Modified Crank–Nicholson difference schemes for ultra-parabolic equations, Computers & Mathematics with Applications, Vol. 64, Issue 8, 2756-2764.
- Ashyralyev A. and San M.E. 2012. An approximation of semigroups method for stochastic parabolic equations, Abstract and Applied Analysis, vol. 2012, Article ID 684248, 24 pages.
- Ashyralyev A., Sergey Piskarev, Valery Covachev, Ravshan Ashurov, and Hasan Ali Yurtsever. 2012. Well-Posed and Ill-Posed Boundary Value Problems for PDE, Abstract and Applied Analysis, vol. 2012, Article ID 492589, 2 pages.
- Allaberen Ashyralyev and Abdullah Said Erdogan. 2012. Finite Difference Method for the Estimation of a Heat Source Dependent on Time Variable, Malaysian Journal of Mathematical Sciences 6(S): 139-150.
- Allaberen Ashyralyev and Okan Gercek. 2012. Well-Posedness of Multipoint Elliptic-Parabolic Differential Problems, Malaysian Journal of Mathematical Sciences 6(S): 123-137.
- Ashyralyev A., Well-posedness of fractional parabolic equations, Boundary Value Problems, 2013:31doi:10.1186/1687-2770-2013-31, (2013) 1-18.
- Ashyralyev A. and Yildirim O.,On the numerical solution of hyperbolic IBVP with high-order stable finite difference schemes, Boundary Value Problems, 2013:29 doi:10.1186/1687-2770-2013-29, (2013) 1-34.
- AshyralyevandSharifovY.A.,Optimal control problem for impulsive systems with integral boundary conditions, EJDE,vol. 2013 (2013), no. 80, 1-11.
- Ashyralyev A. and Batyrov A.,On stability of difference schemes in fractional spaces, Mathematical and Computer Modelling, vol. 57 (2013) 900–908.
- AshyralyevandÇakir Z., FDM for Fractional Parabolic Equations with the Neumann Condition, Advances in Difference Equations 2013, 2013:120 doi:10.1186/1687-1847-2013.
- Ashyralyev A. and Akat M., An approximation of stochastic hyperbolic equations: case with Wiener process, Mathematical Methods in the Applied Sciences, 2013, DOI:10.1002/mma.2666, 13 pages, 2013
- AshyralyevandOzesenli TetikogluF.S.,A third-order of accuracy difference scheme for the Bitsadze-Samarskii type nonlocal boundary value problem, Numerical Functional Analysis and Optimization, 34(9):939–975, 2013.
- Ashyralyev A. and Sharifov Y.A., Existence and uniqueness of solutions for nonlinear impulsive differential equations with two-point and integral boundary conditions, Advances in Difference Equations 2013, 2013:173 doi:10.1186/1687-1847-2013-173, 10 pages.
- Allaberen AshyralyevandOzgur Yildirim, On stability of a third order of accuracy difference scheme for nonlocal BVPs with self-adjoint operator, Abstract and Applied Analysis, vol. 2013, Article ID 959216, 18 pages, 2013.
- Ashyralyev A. and Agirseven D. On Convergence of Difference Schemes for Delay Parabolic Equations, Computers & Mathematics with Applications, vol. 66, Issue 7, pp. 1232-1244, 2013.
- Allaberen AshyralyevandMesut Urun, Determination of a control parameter for the difference Schrödinger equation, Abstract and Applied Analysis, vol. 2013, Article ID 548201, 14 pages, 2013.
- Ashyralyev A., Sergey Piskarev, Valery Covachev, Ravshan Ashurov, and Hasan Ali Yurtsever, Abdullah Said Erdogan. Well-Posed and Ill-Posed Boundary Value Problems for PDE-2013, Abstract and Applied Analysis, vol. 2013, Article ID 468274, 2 pages, 2013.
- Ashyralyev A. and Yildirim O.High order accurate difference schemes for hyperbolic IBVP. Lecture Notes in Computer Science 8236, pp. 174-181 (2013).
- Ashyralyev A. and Yilmaz S.Modified Crank-Nicholson difference schemes for ultra parabolic equations with Neumann condition.Lecture Notes in Computer Science 8236, pp. 182-189 (2013).
- Ashyralyev A. and Erdogan A.S. Stability of implicit difference scheme for solving the identification problem of a parabolic equation.Lecture Notes in Computer Science 8236, pp. 271-278(2013).
- Ashyralyev A. and Ozturk E., On a difference scheme of fourth order of accuracy for the BitsadzeSamarskii type nonlocal boundary value problem, Mathematical Methods in the Applied Sciences, Volume: 36 Issue: 8 Pages: 936-955, 2013.
- Ashyralyev A. and Agirseven D., Note on the Stability of Delay Parabolic Equations with Unbounded Operators Acting on Delay Terms, Electronic Journal of Differential Equations, Vol. 2014 (2014), 1-15.
- Ashyralyev A. and Ashyralyyev Ch., On the problem of determining the parameter of an elliptic

equation in a Banach space, Nonlinear Anal.: Modelling and Control, vol. 19(2014),no.3,350-366.

- Ashyralyev A. and and Özger F., The hyperbolic-elliptic equations with the nonlocal condition, Mathematical Methods in the Applied Sciences,Vol.37, issue4, 524-545, 2014.
- Ashyralyev A. and Erdogan A.S. On the second order implicit difference schemes for a right hand side identification problem.Math. Comput.226,pp. 212–228, 2014.
- Ashyralyev A. and Hanalyev A. Well-Posedness of Nonlocal Parabolic Differential

Problems with Dependent Operators, The Scientific World Journal Volume 2014, Article ID 519814, 11 pageshttp://dx.doi.org/10.1155/2014/519814, 2014.

- Allaberen Ashyralyev, Sema Akturk andYasar Sozen.The structure of fractional spaces generated by a two-dimensional elliptic differential operator and its applications, Boundary Value Problems2014,2014:3.
- Ashyralyev A. and Öztürk E., On a difference scheme of second order of accuracy for the Bitsadze-Samarskii type nonlocal boundary-value problem, Boundary Value Problems 2014, 2014:14 doi:10.1186/1687-2770-2014-14.
- Ashyralyev A. and Prenov R. Finite-difference method for the hyperbolic system of equations with nonlocal boundary conditions, Advances in Difference Equations, 2014, 2014:26 doi:10.1186/1687-1847-2014-26, 26 pages.
- Ashyralyev A. and Agirseven D. Well-Posedness of Delay Parabolic Difference Equations, Advances in Difference Equations, 2014,2014:18doi:10.1186/1687-1847-2014-18, 20 pages.
- Ashyralyev A. and Ozdemir Y.,On numerical solutions for hyperbolic–parabolic equations with the multipoint nonlocal boundary condition, Journal of the Franklin Institute, Volume 351, Issue 2, 602-630, 2014.
- Ashyralyev A., Nalbant N. and Sozen Y. Structure of fractional spaces generated by second order difference operators, Journal of the Franklin Institute, Volume 351, Issue 2, 713-731, 2014.
- Ashyralyev A. and Çakir Z.,r-Modified Crank-Nicholson difference scheme for fractional parabolic PDE, Boundary Value Problems 2014, 2014:76 doi:10.1186/1687-2770-2014-76. 12 pages.
- Ashyralyev, Emirov N. and Cakir Z.,Well-posedness of fractional parabolic differential and difference equations with Dirichlet-Neumann conditions, Electronic Journal of Differential Equations, Vol. 2014 (2014), no. 97, pp. 1-17.
- Amanov Dj. andAshyralyev,Well-posedness of boundary-value problems for partial differential equations of even order, Electronic Journal of Differential Equations, Vol. 2014 (2014), no. 108, pp. 1-18.
- Ashyralyev A. and Erdogan A.S., Well-posedness of the problem of right hand side identification for a parabolic equation, UMJ, vol. 66(2014), no.2, 147-158.
- Ashyralyev A. and Agirseven D., Well-posedness of delay parabolic equations with unbounded operators acting on delay terms, Boundary Value Problems 2014, 2014:126 doi:10.1186/1687-2770-2014-126. 15 pages.
- Ashyralyev A. and Agirseven D., On source identification problem for a delay parabolic equation, Nonlinear Analysis: Modelling and Control, Vol. 19, No. 3, 2014, 16 pages.
- Ashyralyev A. and Aggez N., On the solution of NBVP for multidimensional hyperbolic equations, The Scientific World Journal Volume 2014, Article ID 841602, 22 pages,http://dx.doi.org/10.1155/2014/841602, 2014.
- Ashyralyev A. and Urun M., A second order of accuracy difference scheme for Schrödinger equations with an unknown parameter, Filomat 28:5 (2014), 981–993 DOI 10.2298/FIL1405981A.
- Ashyralyev A. and Ozturk E., Stability of Difference Schemes for Bitsadze-Samarskii Type Nonlocal Boundary Value Problem Involving Integral Condition, Filomat 28:5 (2014)1027-1047

DOI:10.2298/FIL1405027A.

- Ashyralyev A. and Agirseven D., Stability of Delay Parabolic Difference Equations, Filomat 28:5 (2014), 995-1006 DOI:10.2298/FIL1405995A.
- Ashyralyev A. andOzesenli TetikogluS., On well-posedness of nonclassical problems for elliptic equations, Mathematical Methods in the Applied Sciences,Vol.37, issue4, 524-545, 2014. DOI:10.1002/mma.3006.
- Ashyralyev A., and Modanli M., An operator method for telegraph partial differential and difference equations, Boundary Value Problems 2015, 2015:41 DOI:1186/s13661-015-0302-z.
- Ashyralyev A., andSarsenbi, A. Well-posedness of a parabolic equation with nonlocal boundary, Boundary Value Problems 2015, 2015:38 DOI:1186/s13661-015-0297-5.
- Ashyralyev A., andTetikoglu F., A note on fractional spaces generated by the positive operator with periodic conditions and applications, Boundary Value Problems 2015, 2015:31 DOI:1186/s13661-015-0293-9.
- Ashyralyev A., Well-Posedness in Hölder Spaces of Elliptic Differential and Difference Equations, Finite Difference Methods, Theory and ApplicationsBook Series:Lecture Notes in Computer ScienceVolume:9045Pages:25-37,
- Ashyralyev A., andAgirseven D.,Difference Schemes for Delay Parabolic Equations with Periodic Boundary Conditions, Finite Difference Methods, Theory and ApplicationsBook Series:Lecture Notes in Computer ScienceVolume:9045 Pages:145-152, 2015.
- Ashyralyev A., and Akturk S., Positivity of one-dimensional difference operator in the half-line and its applications, Applied and Computational Mathematics, vol. 14, no.2, 204-220, 2015.
- Ashyralyev A., Pastor J., Piskarev S., and Yurtsever H.A.,Second order equations in functional spaces: qualitative and discrete well-posedness, Abstract and Applied Analysis, vol. 2015, Article ID 948321, 63 pages,org/10.1155/2015/948321
- Assia Guezane-Lakoud,Allaberen Ashyralyev, Positive Solutions for a System of Fractional Differential Equations with Nonlocal Integral Boundary Conditions,Differential Equations and Dynamical Systems, 8 pages, DOI 10.1007/s12591-015-0255-9.
- Ashyralyev A., A survey of results in the theory of fractional spaces generated by positive operators, TWMS JPAM, vol. 6, no.2, 129-157, 2015.
- Ashyralyev A., andSarsenbi A., Well-posedness of an elliptic equation with involution, Electronic Journal of Differential Equations, Vol. 2015 (2015), No. 284, pp. 1–8. http://ejde.math.txstate.edu or http://ejde.math.unt.edu ftp ejde.math.txstate.edu.
- Ashyralyev A., Akturk S., The structure of fractional spaces generated by multi-dimensional elliptic difference operator, Advances in Difference Equations, vol.2015,384, 2015 doi:10.1186/s13662-015-0719-9.
- Ashyralyev, N. Nalbant,Positivity of a differential operator with nonlocal conditions
**,**FILOMAT, Vol**.**30, Iss.3(2016), pp. 885-904, DOI:10.2298/FIL1603885A. - Ashyralyev, S Akturk,A Note on Positivity of One-Dimensional Elliptic Differential Operators, European Journal of Pure and Applied Mathematics 9 (2), 165-174.
- Ashyralyev, S Akturk,A Note on Positivity of Two-Dimensional Differential Operators, FILOMAT, Vol.30, Iss.3(2016), pp. 885-904, DOI:10.2298/FIL1603885A.
- B Hicdurmaz, A. Ashyralyev,A stable numerical method for multidimensional time fractional Schrödinger equations, Computers & Mathematics with Applications, 2016.
- Ashyralyev, F. Çekiç,On Source Identification Problem for Telegraph Differential Equations, Differential and Difference Equations with Applications Vol. 164 of the series Springer Proceedings in Mathematics & Statistics, 39-50.
- Ashyralyev, D. Agirseven, and B. Ceylan, Bounded Solutions of Delay Nonlinear Evolutionary Equations,Journal of Computational and Applied Mathematics: Computational and Mathematical Methods in Science and Engineering CMMSE-2015. 318 (2017) 69–78.
- Ashyralyev, Kh. Belakroum,andA. Guezane-Lakoud, Stability of boundary value problems for third- order partial differential equations, Electronic Journal of Differential Equations, Vol. 2017 (2017), No. 53, pp. 1-11.http://ejde.math.txstate.edu .
- Ali Ugur Sazaklioglu, Allaberen Ashyralyev, Abdullah Said Erdogan, Existence and Uniqueness Results for an Inverse Problem for Semilinear Parabolic Equations, Filomat 31:4 (2017), 1057–1064.DOI 10.2298/FIL1704057S.
- Hicdurmaz & A. Ashyralyev (2017): On the Stability of Time-Fractional Schrödinger Differential Equations, Numerical Functional Analysis and Optimization, 38(10) 1215-1226. DOI:10.1080/01630563.2017.1316990
**.** - Allaberen Ashyralyev & Elif Ozturk Beigmohammadi (2017): Well-Posedness of a Fourth Order of Accuracy Difference Scheme for Bitsadze–Samarskii-Type Problem, Numerical Functional Analysis and Optimization, 38(10) 1244-1260. DOI: 10.1080/01630563.2017.1316994.
- Allaberen Ashyralyev & Ali Ugur Sazaklioglu (2017): Investigation of a Time-Dependent Source Identification Inverse Problem with Integral Overdetermination, Numerical Functional Analysis and Optimization, 38(10) 1276-1295. DOI: 10.1080/01630563.2017.1316996.
- Allaberen Ashyralyev & Abdizhahan Sarsenbi (2017): Well-Posedness of a Parabolic Equation with Involution, Numerical Functional Analysis and Optimization, 38(10) 1295-1305. DOI:10.1080/01630563.2017.1316997
**.** - Allaberen Ashyralyev & Fatih Sabahattin Tetikoglu (2017): Structure of Fractional Spaces Generated by the Difference Operator and Its Applications, Numerical Functional Analysis and Optimization, 38(10) 1325-1341.DOI: 10.1080/01630563.2017.1316999.
- Allaberen Ashyralyev & Sinem N. Simsek (2017): An Operator Method for a Third Order Partial Differential Equation, Numerical Functional Analysis and Optimization, 38(10) 1341-1360. DOI: 10.1080/01630563.2017.1317000.
- Allaberen Ashyralyev & Sema Akturk (2017): Positivity of One-Dimensional Operator 2mth Order on the Half-Line and its Applications, Numerical Functional Analysis and Optimization, 38(10) 1360-1373. DOI: 10.1080/01630563.2017.1317001.
- Guezane-Lakoud, A. Ashyralyev(2017): Positive Solutions for a System of Fractional Differential Equations with Nonlocal Integral Boundary Conditions, Differential Equations and Dynamical Systems 25(4) 519-526. DOI: 10.1007/s12591-015-0255-9.
- Allaberen Ashyralyev & Sema Akturk (2017): A Note on Positivity of Two-Dimensional Differential Operators, Filomat 31:14 (2017), 4651–4663,https://doi.org/10.2298/FIL1714651A.
- Ashyralyev, D. Agirseven, Bounded solutions of nonlinear hyperbolic equations with time delay, Electronic Journal of Differential Equations, Vol. 2018 (2018), No.21, pp. 1–15. http://ejde.math.txstate.edu or http://ejde.math.unt.edu.

**7.2. Papers published in other internationally refereed journals**

- Ashyralyev, A., Akca, H.,Guray, U.1999. Second order of accuracy difference scheme for approximate solutions of delay differential equations. Functional Differential Equations, vol. 6, no.3-4, 223-231.
- Ashyralyev, A. et al. 1999. Model of problem of filtration oil in the lower permeable stratum and its solving by the difference schemes. Ilym-8 Years of Independence of Turkmenistan, Ashgabat, 201-206.
- Ashyralyev, A.,Orazov, M.B.1999. The theory of operators and the stability of difference schemes for partial differential equations mixed types. Fırat University, Fen – Muh. Bilimleri Dergisi 11(3), 249-252.
- Ashyralyev, A.,Yurtsever, A.2000. On difference schemes for hyperbolic-parabolic equations, Functional Differential Equations, 7, no.3-4, 189-203.
- Ashyralyev, A., Akca, H.,Biszewski, L. 2000. On a semilinear evolution nonlocal Cauchy problem.In:Some Problems of Applied Mathematics, Istanbul, 29-44.
- Ashyralyev, A., Kendirli, B. 2000. Positivity in of one-dimensional difference operators with nonlocal boundary Conditions. In: Some Problems of Applied Mathematics, Istanbul, Turkey, 45-60.
- Ashyralyev, A., Sobolevskii, P.2000. Theory of positive operators and stability of the difference schemes. In: Some Problems of Applied Mathematics, Istanbul, Turkey, 61-69.
- Ashyralyev, A.,Yurtsever, A., Judakova, G. 2000. On hyperbolic-elliptic equations in a Hilbert space. In: Some Problems of Applied Mathematics, Istanbul,Turkey, 70-79.
- Ashyralyev, A.,Kendirli, B.2002. Well-posedness of the nonlocal boundary value problem for elliptic equations. Functional Differential Equations, vol 9, no. 1&2, 33-55.
- Ashyralyev, A., Sobolevskii, P. E. 2003.On the two new approaches of the high order of accuracy difference schemes for the second order differential equations. Functional Differential Equations, vol.10, no.3&4, 333-405.
- Ashyralyev, A., Karatay, I. 2004. On the second order of accuracy difference schemes of the nonlocal boundary value problem for parabolic equations. Functional Differential Equations, vol.10, no.1 & 2, 45-63.
- Ashyralyev, A., Ozdemir, Y. 2005. A note on the nonlocal boundary value problem for hyperbolic-parabolic equations. Functional Differential Equations, vol.12, no.1-2, 67-81.
- Ashyralyev, A., Piskarev, S. 2005. On well-posedness of difference schemes for abstract elliptic problems in SFB 701: Preprints, Uni. of Bielefeld (Germany), pp: 17.
- Ashyralyev, A. 2006. Fractional spaces generated by the positive differential and difference operators in a Banach space. ISMME, Springer, 10-19.
- Ashyralyev, A.,Ozdemir, Y. 2006.Numerical solution of a non-classical hyperbolic-parabolic problem. ISMME, Springer, 116-125.
- Ashyralyev, A. 2006. A note on the nonlocal boundary value problem for elliptic-parabolic Nonlinear Studies, vol.13, no. 4, 327-333.
- Ashyralyev, A., Ozgur, Y. 2008. A noteA N on the numerical solutions of hyperbolic partial differential equations. Sakarya University, Faculty of Arts and Science. The Jour. of Arts -Science 9(EK), 33-49.
- Ashyralyev, A. and Sirma A., Multipoint nonlocal boundary value problems for Schrödinger equation, PAMM Proc. Appl. Math. Mech., 71, 2008, 127-128.
- Ashyralyev, A., Agarwal, R.P., Shahmurov, R. 2009. Taylor’s decomposition at several points for odd order ordinary DEs. Neural, Parallel and Scientific Computations, vol.17, Issue 1, 1-16.
- Ashyralyev, A., Dural, A., Sozen, Y. 2009. Multipoint nonlocal boundary value problems for reverse parabolic equations: well-posedness. Vestnik of Odessa National Univ.,Mathematics and Mechanics, vol.13,18, 1-12.
- Ashyralyev, A.,Dural, A.,Sozen,Y. 2009. Well- posedness of the Rothe difference scheme for reverse parabolic equations. Iranian Journal of Optimization, vol.1, 2-3, 1-25.
- Ashyralyev, A., Koksal, M.E. 2009. Stability analysis for a new difference scheme generated by A(t). Ovidius University Annals Series: Civil Engineering, vol.1, 11, 285-290.
- Ashyralyev, A., Aggez, 2011. On the numerical solution of multipoint NBVP for hyperbolic equation with integral and Neumann conditions. International Journal of Mathematics and Computation, Volume 10, Number M11 (Special Volume), 107-116.
- Ashyralyev, A., Ozdemir, Y. 2011. On the second order of accuracy difference schemes generated by r-modified Crank-Nicholson difference schemes. Intern. Journal of Mathematics and Computation, Volume 10, Number M11 (Special Volume), 123-136.
- Ashyralyev, A., Demirdag, O. 2011. A note on a problem of obtaining the parameter of a parabolic equation. International Journal of Mathematics and Computation, Volume 11, Number J11 (Special Volume), 10-20.
- Ashyralyev, A., Dural, A., Sozen, Y. 2011. A note on the second order accuracy difference scheme for reverse parabolic equation. Intern. Jour. of Mathematics and Computation, Vol. 11, Nu. J11 (Special Vol.), 38-49.
- Ashyralyev, A., Erdogan, A.S. 2011. On the numerical solution of a parabolic inverse problem with the Dirichlet condition. Intern. Journal of Mathematics and Computation, Volume 11, Number J11 (Special Vol.), 73-81.
- Ashyralyev, A., Gercek, O. 2011. On numerical solution of multipoint nonlocal elliptic-parabolic equations with Neumann condition. International Journal of Mathematics and Computation, Volume 11, Number J11 (Special Volume), 99-110.
- Ashyralyev, A. 2011.Uniform difference schemes for parabolic perturbation problems, Vestnik of Odessa National University. Mathematics and Mechanics, 15, Is. 18, 112-128.
- Ashyralyev, A., Erdogan, A.S. 2011. Well-posedness of the inverse problem of a multidimensional parabolic equation, Vestnik of Odessa National University. Mathematics and Mechanics, 15, Is. 19, 102-108.
- Ashyralyev, A., Gercek, O. 2011. On multipoint nonlocal elliptic-parabolic difference equation. Vestnik of Odessa National University, Mathematics and Mechanics, vol. 16, pp: 10.
- Ashyralyev, A., Demirdag, O. 2011. A note boundary value parabolic problems. Vestnik of Odessa National University, Mathematics and Mechanics, vol. 16, pp:15.
- Ashyralyev A. and Hanalyev A. 2012. Coercive solvability of parabolic differential equations with dependent operators, TWMS J. App. Eng. Math., vol. 2, no.1, 75-93.
- Allaberen Ashyralyev and Necmettin Aggez. 2012. On the Solution of Multipoint NBVP for Hyperbolic Equations with Integral Condition, Malaysian Journal of Mathematical Sciences 6(S): 111-121.
- Allaberen Ashyralyev, Ayfer Dural and Yasar Sözen. 2012. On Well-Posedness of the Second Order Accuracy Difference Scheme for Reverse Parabolic Equations, Malaysian Journal of Mathematical Sciences 6(S): 91-109.
- Allaberen Ashyralyev. 2012. Well-Posedness of Parabolic Differential and Difference

Equations with the Fractional Differential Operator, Malaysian Journal of Mathematical Sciences 6(S): 73-89.

- Allaberen Ashyralyev and Yildirim Ozdemir. 2012. Numerical Solution of a Hyperbolic-Parabolic Problem with Nonlocal Boundary Conditions, Malaysian Journal of Mathematical Sciences 6(S): 31-48.
- Ashyralyev A. and Prenov R
**. 2012.**The hyperbolic system of equations with nonlocal

boundary conditions, TWMS J. App. Eng. Math., vol. 2, no.2, 154-178.** Allaberen AshyralyevandMesut Urun.2013. Determination of a control parameter for the Schrödinger equation, Contemporary Analysis and Applied Mathematics vol.1, no. 2, 156-166.**

- Guezane-Lakoud A., and Ashyralyev A., Fixed point theorem applied to a fractional boundary value problem, Pure and Applied Mathematics Letters 2, pp. 1-6(2014).
- Ashyralyev A., Shahmurov R., High-accuracy difference schemes for the differential equation of 2n-th order, Contemporary Analysis and Applied Mathematics, vol.2, no.2, pp. 290-304 (2014).
- Ashyralyev A., and Ashyralyyeva M.A., On source identification problem for a hyperbolic-parabolic equation, Contemporary Analysis and Applied Mathematics Vol.3, No.1, 88-103, 2015.

**7.3. Papers in international conference proceedings**

- Ashyralyev, A., Micheletzky, G. 1993. The approximation of the solutions of stochastic differential equations in a Hilbert space by the difference schemes. Proceeding of the Scientific-practical Conference Differential Equations and Their Applications, Ashgabat, 85-95 .
- Ashyralyev, A.,Cimen F.1998. On Rothe`s difference scheme of approximate solution of nonlocal boundary value problem for the stochastic parabolic equation. Proceeding of International Conference Singular Equations and Equations Mixed Types, Fergana, 140-141.
- Ashyralyev, A.,Akca, H. 1999. On difference shemes for semilinear delay differential equations with constant Proceeding of the Conference TSU “Actual Problems of Applied Mathematics, Physics and Ingineering”, Ashgabad, 18-21.
- Ashyralyev, A.1999. The stability of difference schemes for partial differential equations mixed types. Proceeding of the Second International Symposium on Mathematical and Computational Applications, Baku, 314-316.
- Ashyralyev, A., Judakova, G.1999. On equations mixed type in Hilbert space. Proceeding of the Conference TSU “Actual Problems of Applied Mathematics, Physics and Ingineering”, Ashgabad, 21-24.
- Ashyralyev, A.,Kendirli, B.2001.Positivity in Holder norms of one-dimensional difference operators with nonlocal boundary conditions. In: “Application of Mathematics in Engineering and Economics-26”, Heron Press.
- Ashyralyev, A.,Yurtsever, A. 2001.On a nonlocal boundary value problem for hyperbolic-parabolic equations. In: “Application of Mathematics in Engineering and Economics-26”, Heron Press-Technical Univ. of Sofia,79-85.
- Ashyralyev, A., Kendirli, B.2001. Well-posedness of the nonlocal boundary value problem for difference elliptic equations. Procceeding of the International Mathematical Conference “Kazakhstan – 2000”, Almaty, 14-19.
- Ashyralyev, A. 2002. On the uniform difference schemes of the nonlocal pertibation boundary value problem for differential equations mixed types. Proceeding of the International Conference “Modern Mathematical Problems”, Astana, 63-66.
- Ashyralyev, A., Judakova, G. 2002. A note on the nonlocal boundary value problem for hyperbolic-elliptic equations in a Hilbert space. Proceeding of the International Conference “Modern Mathematical Problems”, Astana, 66-70.
- Ashyralyev, A., Judakova, G., Sobolevskii, P.E. 2005. On difference schemes for hyperbolic-elliptic equations, Dynamic Systems and Applications, Proceedings, 90-112.
- Ashyralyev, A., Yenial-Altay, N. 2005. Positivity of difference operators generated by the nonlocal boundary conditions. Dynamic Systems and Applications, Proceedings, 113-135.
- Ashyralyev, A., Yurtsever, A.2005.On difference schemes for hyperbolic-parabolic equations. Dynamic Systems and Applications, Proceedings,136-153.
- Ashyralyev, A., Gezgin, E. 2005. On positivity of fourth order differential operators, Bilimde Modern Yontemler Sempozyumu-BMYS2005, Istanbul Teknik University, Turkey, 536-544.
- Ashyralyev, A., Koksal, E.M.2006. Stability of difference schemes for hyperbolic equations. Proceedings of the Conference “Differential & Difference Equations and Applications”, Florida Institute of Technology, Melbourne, Florida, CMIA Book Series, Hindawi Publishing Corporation,117-130.
- Ashyralyev, A. Well-posedness of the nonlocal boundary value problem for elliptic differential and difference equations, Proceedings of the Conference “Differential & Difference Equations and Applications”, Florida Institute of Technology, Melbourne, Florida, CMIA Book Series, Hindawi Publ.Corp.,103-116.
- Ashyralyev, A.,Yaz, N.2006. On structure of fractional spaces generated by positive operators with the nonlocal boundary conditions. Proceedings of the Conference “Differential & Difference Equations and Applications”, Florida Institute of Technology, Melbourne, Florida, CMIA Book Series, Hindawi Publ. Corp., 91-102.
- Ashyralyev, A., Sirma, A. 2007. A note on the modified Crank-Nicholson difference schemes for Schrodinger equation, Complex Analysis and Potential Theory. Proceeding of the conferencesatellite to ICM 2006, Gebze Institute of Technology, Gebze, Kocaeli, Turkey, 256-271.
- Ashyralyev, A. 2008. Nonlocal boundary-value problems for elliptic differential and difference equations: well-posedness in Bochner spaces. Proceeding of reports of the International Conference ”Education, Science, Sports and Tourism in the Great Revival Era”, Ashgabat,Turkmenistan, 219-224.
- Ashyralyev, A. 2009. A note on the modified Pade difference schemes, Further progress in analysis. Proc. of the 6th International ISAAC Congress, World Scientific, 645-654.
- Ashyralyev, A., Erdogan, A.S., Demirci, E. 2009. Numerical solution of a one-dimentional parabolic inverse problem
**,**Further progress in analysis. Proceedings of the 6th International ISAAC Congress, World Scientific, 654-663. - Ashyralyev, A., Gercek, O. 2009. Numerical solution of nonlocal boundary value problems for elliptic-parabolic equations, Further progress in analysis. Proceedings of the 6th International ISAAC Congress, World Scientific, 663-670.
- Ashyralyev, A., Koksal, M.E. 2009. On a difference scheme of second order of accuracy for hyperbolic equations, Further progress in analysis. Proceedings of the 6th International ISAAC Congress, World Scientific, 670-679.
- Ashyralyev, A., Martinez, M., Pastor, J., Piskarev, S. 2009. Weak maximal regularity for abstract hyperbolic problems in function spaces, Further progress in analysis. Proceedings of the 6th International ISAAC Congress, World Scientific, 679-689.
- Ashyralyev, A., Ozdemir, Y. 2009. A note on difference schemes of second order of accuracy for hyperbolic-parabolic equations. Further progress in analysis: Proceedings of the 6th International ISAAC Congress, World Scientific, 689-698.
- Ashyralyev, A., Ozturk, E. 2009. Numerical solutions of Bitsadze-Samarskii problem for elliptic equation
**.**Further progress in analysis: Proceedings of the 6th International ISAAC Congress, World Scientific, 698-707. - .Ashyralyev, A., Sozen, Y. 2009. On well-posedness of parabolic differential and difference equations, Further progress in analysis: Proceedings of the 6th International ISAAC Congress, World Scientific, 707-717.
- Ashyralyev, A. 2009. Modified Pade difference schemes for well-posed parabolic problems. of the Third International Conference on Modeling, Simulation and Applied Optimization, 6 pages.
- Ashyralyev, A.,Sozen, Y. 2009. A note on the abstract parabolic equation with an arbitrary parameter at the Proc. of the Third International Conference on Modeling, Simulation-Applied Optimization, pp: 6.
- Ashyralyev, A., Sirma A., Integral type nonlocal boundary value problems for the Schrödinger equation. of the Third International Conference on Modeling, Simulation and Applied Optimization, pp: 6.
- Ashyralyev, A. 2010. Nonlocal boundary-value problems for abstract elliptic equations: well-posedness in Bochner AIP Conference Proceedings, ICMS International Conference on Mathematical Science, vol. 1309, 66-85.
- Ashyralyev, A., Ozdemir, Y. 2010. A note on difference schemes of nonlocal boundary-value problems for hyperbolic-parabolic equations. AIP Conference Proc., ICMS International Conference on Mathematical Science, 1309, 725-738.
- Ashyralyev, A., Ozger, F. 2011. The Hyperbolic-Elliptic Equation with the Nonlocal Condition. Edited by: Simos, TE. Book Series: AIP Conference Proceedings Volume: 1389. pp.1-4.
- Ashyralyev, A., Tashkin, A. 2011. Stable Difference Schemes for the Neutron Transport Equation. Edited by: Simos, TE. Book Series: AIP Conference Proceedings Volume: 1389. pp.1-4.
- Ashyralyev, A., Cakir, Z. 2011. Stable Difference Schemes for Fractional Parabolic PDE. Edited by: Simos, TE. Book Series: AIP Conference Proceedings Volume: 1389. pp.1-4.
- Ashyralyev, A., Ozesenli Tetikoglu F. S. 2011. On Numerical Solutions of Nonclassical Problems for Elliptic Equations. Edited by: Simos, TE. Book Series: AIP Conference Proceedings Volume: 1389. pp.1-4.
- Ashyralyev, A., Demirdag, O. On the Numerical Solution of Parabolic Equation with the Neumann Condition Arising in Determination of a Control Parameter. Edited by: Simos, TE. Book Series: AIP Conference Proceedings Volume: 1389. pp.1-4.
- Ashyralyev, A., Kaplan,
**,**Sozen, Y. 2011. Positivity of Two-Dimensional Elliptic Differential Operators with Nonlocal Conditions. Edited by: Simos, TE. Book Series: AIP Conference Proceedings Volume: 1389. pp.1-4. - Ashyralyev, A., Akat M. 2011. An Approximation of Stochastic Hyperbolic Equations. Edited by: Simos, TE. Book Series: AIP Conference Proceedings Volume: 1389. pp.1-4.
- Ashyralyev, A., Gercek, O. 2011. Numerical Solution of NBVP for Elliptic-Parabolic Equations . Edited by: Simos, TE. Book Series: AIP Conference Proceedings Volume: 1389. pp.1-4.
- Ashyralyev, A., Ozturk, E. 2011. On the Fourth Order of Accuracy Difference Scheme for the Bitsadze-Samarskii Type Nonlocal Boundary Value Problem. Edited by: Simos, TE. Book Series: AIP Conference Proceedings Volume: 1389. pp.1-4.
- Ashyralyev, A., Yıldırım, O. 2011. Second Order of Accuracy Stable Difference Schemes for Hyperbolic Problems Subject to Nonlocal Conditions with Self-Adjoint Operator. Edited by: Simos, TE. Book Series: AIP Conference Proceedings Volume: 1389. pp.1-4.
- Ashyralyev, A., Yilmaz, S. Second Order of Accuracy Difference Schemes for Ultra Parabolic Equations. Edited by: Simos, TE. Book Series: AIP Conference Proceedings Volume: 1389. pp.1-4.
- Ashyralyev, A., Agirseven, D. Finite Difference Method for Delay Parabolic Equations . Edited by: Simos, TE. Book Series: AIP Conference Proceedings Volume: 1389. pp.1-4.
- Ashyralyev, A., San, M.E. 2011. Finite Difference Method for Stochastic Parabolic Equations. Edited by: Simos, TE. Book Series: AIP Conference Proceedings Volume: 1389. pp.1-4.
- Ashyralyev, A., Aggez, N. 2011. Numerical Solution of NBVP for Hyperbolic Equations. Edited by: Simos, TE. Book Series: AIP Conference Proceedings Volume: 1389. pp.1-4.
- Ashyralyev A . 2012.Preface of the Symposium “Numerical Functional Analysis”, AIP Conf. Proc. 1479, 554.
- Allaberen AshyralyevandDeniz Ağırseven. 2012. Approximate solutions of delay parabolic equations with the Neumann condition, AIP Conf. Proc. 1479, 555-558.

** Allaberen Ashyralyev, Zeynep Ödemiş Özger andFaruk Özger. 2012. A first order of accuracy stable difference scheme for hyperbolic-elliptic equations, AIP Conf. Proc. 1479, 582-585.**** Allaberen AshyralyevandFatih Sabahattin Tetikoğlu. 2012. The positivity of the differential operator with periodic conditions, AIP Conf. Proc. 1479, 586-589.**

#### Allaberen AshyralyevandMuzaffer Akat. 2012.An approximation of stochastic telegraph equations, AIP Conf. Proc. 1479, 598-601.

#### Allaberen AshyralyevandAlexey Lukashov. 2012. Preface: First International Conference on Analysis and Applied Mathematics (ICAAM 2012), AIP Conf. Proc. 1470,

** Djumaklych Amanov and Allaberen Ashyralyev. 2012. Well-posedness of boundary value problems for partial diffferential equations of even order, AIP Conf. Proc. 1470, 3-7.**** Allaberen AshyralyevandY. A. Sharifov. 2012.Existence and uniqueness of solutions for nonlinear impulsive differential equations with two-point and integral boundary conditions, AIP Conf. Proc.1470, 8-11.****Allaberen AshyralyevandY. A. Sharifov. 2012.,Optimal control problem for impulsive systems with integral boundary conditions, AIP Conf. Proc. 1470, 12-15.****Allaberen AshyralyevandBetul Hicdurmaz. 2012. A note on the numerical solution of fractional Schrödinger differential equations, AIP Conf. Proc. 1470, 92-94.**** Allaberen AshyralyevandOzgur Yildirim. 2012. High order of accuracy stable difference schemes for numerical solutions of NBVP for hyperbolic equations, AIP Conf. Proc. 1470, 84-87.****Allaberen AshyralyevandYildirim Ozdemir. 2012. On numerical solution of multipoint NBVP for hyperbolic-parabolic equations with Neumann condition, AIP Conf. Proc. 1470, 80-83.****Allaberen Ashyralyev, Sema Akturk andYasar Sozen. 2012. Positivity of two-dimensional elliptic differential operators in Hölder spaces, AIP Conf. Proc. 1470, 77-79.**** Allaberen Ashyralyev, Zeynep Ödemiş Özger andFaruk Özger. 2012. On stability of hyperbolic-elliptic differential equations with nonlocal integral condition, AIP Conf. Proc. 1470, 73-76.**** Allaberen Ashyralyev, Nazar Emirov andZafer Cakir. 2012. Fractional parabolic differential and difference equations with the Dirichlet-Neumann condition, AIP Conf. Proc. 1470, 69-72.**** Allaberen AshyralyevandNecmettin Aggez. 2012. NBVP for hyperbolic equations involving multi-point and integral conditions, AIP Conf. Proc. 1470, 65-68.**** Allaberen AshyralyevandFatma Songul Ozesenli Tetikoglu. 2012.A third-order of accuracy difference scheme for the Bitsadze-Samarskii type nonlocal boundary value problem, AIP Conf. Proc. 1470, 61-64.****Allaberen AshyralyevandFatih Sabahattin Tetikoğlu. 2012.The structure of fractional spaces generated by the positive operator with periodic conditions, AIP Conf. Proc. 1470, 57-60.**** Allaberen AshyralyevandElif Ozturk. 2012.On Bitsadze-Samarskii type nonlocal boundary value problems for semi-linear elliptic equations, AIP Conf. Proc. 1470, 114-117.**** Allaberen Ashyralyev,Necmettin AggezandFatih Hezenci. 2012.Boundary value problem for a third order partial differential equation, AIP Conf. Proc. 1470, 130-132.**** Allaberen AshyralyevandSerhat Yilmaz. 2012.On the numerical solution of ultra-parabolic equations with the Neumann condition, AIP Conf. Proc. 1470, 240-242.**** Ashyralyev A., Gercek O., and Zusi E., Well-posedness of difference scheme for elliptic-parabolic equations in Hölder spaces without a weight, AIP Conf. Proc. 1611, pp. 84-88 (2014).**** Ashyralyev A., and Shahmurov R., High-accurate difference schemes for the differential equation of 2n-th order, AIP Conf. Proc. 1611, pp. 141-144 (2014).**** Ashyralyev A., and Sazaklioglu A.U., A note on the stability of a time-dependent source identification problem, AIP Conf. Proc. 1611, pp. 186-189 (2014).**** Ashyralyev A., and Akturk S., Fractional spaces generated by the positive differential operator in the half-line R+ and their applications, AIP Conf. Proc. 1611, pp. 211-215 (2014).**** Ashyralyev A., and Simsek Ş.N., Nonlocal boundary value problems for a third order partial differential equation, AIP Conf. Proc. 1611, pp. 234-240 (2014).**** Ashyralyev A., Artykov M., and Çakir Z., A note on fractional parabolic differential and difference equations, AIP Conf. Proc. 1611, pp. 251-254 (2014).**** Ashyralyev A., and Ozesenli Tetikoglu F.S., Well-posedness of a third order of accuracy difference scheme for Bitsadze-Samarskii type multi-point NBVPs, AIP Conf. Proc. 1611, pp. 271-275 (2014).**** Ashyralyev A., and Modanli M., A numerical solution for a telegraph equation, AIP Conf. Proc. 1611, pp. 300-304 (2014).**** Ashyralyev A., and Tetikoglu F., The positivity of the second order difference operator with periodic conditions in Hölder spaces and its applications, AIP Conf. Proc. 1611, pp. 336-343 (2014).**** Ashyralyev A., Tekalan S.N., and Erdogan A.S., On a first order partial differential equation with the nonlocal boundary condition, AIP Conf. Proc. 1611, pp. 369-373 (2014).**** Ashyralyev A., Taskin A., Structures of the fractional spaces generated by the difference neutron transport operator, AIP Conf. Proc.1676, 020051(2015);http://dx.doi.org/10.1063/1.4930477.**** Ashyralyev A., Modanli M., Nonlocal boundary value problem for telegraph equations, AIP Conf. Proc.1676, 020078(2015);http://dx.doi.org/10.1063/1.4930504.**** Ashyralyev A., Okur U.,Numerical solution of the stochastic parabolic equation with the dependent operator coefficient, AIP Conf. 1676,020004(2015); http://dx.doi.org/ 10.1063 /1.4930430.**** Ashyralyev A., Akturk S.,The structure of fractional spaces and its applications, AIP Conf. Proc.1676,020047(2015);http://dx.doi.org/10.1063/1.4930473.**** Ashyralyev A., Nalbant N.,Positivity of a differential operator with nonlocal conditions, AIP Conf. Proc.1676,020066(2015);http://dx.doi.org/10.1063/1.4930492.**** Ashyralyev A., Tetikoglu F.S.,Pointwise estimates of the Green’s function of a second order differential operator with the variable coefficient,AIP Conf. Proc.1676, 020100(2015); http://dx.doi.org/10.1063/1.4930526.**

- A Ashyralyev, B Karabaeva, AM Sarsenbi,Stable difference scheme for the solution of an elliptic equation with involution, AIP Conf. Proc.1759,020111(2016);http://dx.doi.org/10.1063/1.4959725.
**A**Ashyralyev, D Agirseven, K Turk,On the stability of the telegraph equation with time delay,AIP Conf. Proc.1759,020022(2016);http://dx.doi.org/10.1063/1.4959636.- Kheireddine Belakroum,Allaberen AshyralyevandAssia Guezane-Lakoud,A note on the nonlocal boundary value problem for a third order partial differential equation, AIP Conf. Proc.1759,020021(2016);http://dx.doi.org/10.1063/1.4959635.
- A Ashyralyev,Fatma Songul Ozesenli TetikogluandTulay Kahraman,Source identification problem for an elliptic-hyperbolic equation, AIP Conf. Proc. 1759,020036(2016);http://dx.doi.org/10.1063/1.4959650.

##### · A Ashyralyev, andBahriye Karaca,A note on the Dirichlet problem for model complex partial differential equations,:AIP Conf.1759,020098(2016);http://dx.doi.org/10.1063/1.4959712.

- A Ashyralyev, andYusuf Ya’u Gambo,r–modified Crank-Nicholson difference schemes for one dimensional nonlinear viscous Burgers’ equation for an incompressible flow, AIP Conf. Proc.1759,020100(2016);http://dx.doi.org/10.1063/1.4959714
**.** - A Ashyralyev, andFatih Sabahattin Tetikoglu,The positivity of the difference operator with periodic conditions and its application,AIP Conf. Proc.1759,020047(2016);

http://dx.doi.org/10.1063/1.4959661**.**

- A Ashyralyev, andAbdisalam A. Sarsenbi,Green’s function of the second order differential operator with involution, AIP Conf. Proc.1759,020002(2016);http://dx.doi.org/10.1063/1.4959616.
- A Ashyralyev, andZafer Cakir, Stability estimates for solution of IBVP to fractional parabolic differential and difference equations,AIP Conf. Proc.1759,020087(2016);

http://dx.doi.org/10.1063/1.4959701**.**

- Ali Ugur Sazaklioglu,Abdullah Said Erdogan, and A Ashyralyev,On the unique solvability of an inverse problem for a semilinear equation with final overdetermination, AIP Conf. Proc.1759,020035(2016);http://dx.doi.org/10.1063/1.4959649.
- A Ashyralyev, andAbdulgafur Taskin,Structure of fractional spaces generated by the two dimensional neutron transport operator,AIP Conf. Proc.1759,020066(2016);http://dx.doi.org/10.1063/1.4959680.
- A Ashyralyev, andMesut Urun,Determination of a control parameter of ther-modified Crank-Nicholson difference scheme for the Schrödinger equation,AIP Conf. Proc.1759, 020086(2016); http://dx.doi.org/10.1063/1.4959700
- A Ashyralyev, andUlker Okur,Crank-Nicholson difference scheme for a stochastic parabolic equation with a dependent operator coefficient, AIP Conf. Proc.1759,020103(2016);http://dx.doi.org/10.1063/1.4959717
**.**

##### · A Ashyralyev,Kadriye Tuba TurkcanandMehmet Emir Koksal,Numerical solutions of telegraph equations with the Dirichlet boundary condition, AIP Conf. Proc.1759,020055(2016);http://dx.doi.org/10.1063/1.4959669.

- Ashyralyev,Kh. Belakroum,andA. Guezane-Lakoud,Numerical algorithm for the third-order partial differential equation with local boundary conditions, AIP Conference Proceedings 1880, 040008 (2017); doi: 10.1063/1.5000624.
- Ashyralyev,Kh. Belakroum,andA. Guezane-Lakoud, Numerical algorithm for the third-order partial differential equation with nonlocal boundary conditions, AIP Conference Proceedings 1880, 040012 (2017); doi: 10.1063/1.5000628.
- Ashyralyev, F. Emharab, Source identification problems for hyperbolic differential and difference equations, AIP Conference Proceedings 1880, 040001 (2017); doi: 10.1063/1.5000617.
- Ashyralyev,A. Hamad, Fractional powers of strongly positive operators and their applications, AIP Conference Proceedings 1880, 050001 (2017); doi: 10.1063/1.5000638.

**7.4. International books or sections in books**

- Ashyralyev, A., Sobolevskii, P.E. 1994. Well-Posedness of Difference Parabolic Equations,

Birkhauser Verlag: Basel. Boston. Berlin, Vol.69, pp: 349.

- Ashyralyev,A.,Sobolevskii, P.E. 2004. New Difference Schemes for Partial Differential Equations, Birkhauser Verlag: Basel. Boston. Berlin, Vol.148, pp: 443.

- Edited by Ashyralyev A.andLukashov A., ”First International Conference on Analysis and Applied Mathematics” (ICAAM 2012), AIP Conf. Proc. 1470, pp.270.
- Ashyralyev, A. 2013. Computational Mathematics, Textbook, The South Kazakhstan State University Named after M. Auezovuku Printing House, Chimkent, 145.
- Edited by Ashyralyev A. and Malkowsky E., ”Second International Conference on Analysis and Applied Mathematics” (ICAAM 2014), AIP Conf. Proc. 1611, pp.430.
- Editors byAllaberen Ashyralyev,Eberhard Malkowsky,Alexey LukashovandFeyzi Başar. “ADVANCEMENTS IN MATHEMATICAL SCIENCES: Proceedings of the International Conference on Advancements in Mathematical Sciences”, Antalya, Turkey. ISBN:978-0-7354-1323-8. Volume number:1676, 2015, pp.645.
- Edited by Ashyralyev A.andLukashov A., ”Third International Conference on Analysis and Applied Mathematics” (ICAAM 2016), AIP Conf. Proc. 7–10 September 2016,Almaty, Kazakhstan.
**ISBN:**978-0-7354-1417-4.**Volume number:**1759, 2016, pp. 768. - Ashyralyev, A. 2009. High-accuracy stable difference schemes for well-posed nonlocal boundary value problems. Operator Theory: Advances and Applications, vol. 191, 229-252.

**7.5. Articles published in nationally-respected journals**

- Ashyralyev A. and Sobolevskii P. E., Coercive stability of a Crank-Nicolson difference scheme in spaces , in: Approximate methods for investigations of differential equations and their applications. Kuybishev, 1982, 16-24.
- Ashyralyev A. and Sobolevskii P. E., Correct solvability of the Crank-Nicolson difference scheme for parabolic equations, Izv. Akad. Nauk Turkmen. SSR Ser. Fiz.-Tekhn. Khim. Geol. Nauk, 1981, no. 6, 10-16.
- Ashyralyev A. and Sobolevskii P. E., The Crank-Nicolson difference scheme for differential equations in a Banach space with the time-dependent operator, Izv. Akad. Nauk Turkmen. SSR Ser. Fiz.-Tekhn. Khim. Geol. Nauk, 1982, no. 3, 3-9.
- Ashyralyev A., Some difference schemes for parabolic equations with the nonsmooth initial data, Izv. Akad. Nauk Turkmen. SSR Ser. Fiz.-Tekhn. Khim. Geol. Nauk, 1983, no. 6, 70-72.
- Ashyralyev A. and Sobolevskii P. E., Stability of the difference schemes for parabolic equations in interpolation spaces, in: Applied methods of the functional analysis, Voronezh, 1985, 9-17.
- Ashyralyev A. and Sobolevskii P. E., Coercive stability of the difference schemes of the first and second orders of the approximation with the coefficients independent of the time, Izv. Akad. Nauk Turkmen. SSR Ser. Fiz.-Tekhn. Khim. Geol. Nauk, 1985, no. 6, 3-11.
- Ashyralyev A., An error estimation of the solution of the purely implicit difference schemes for parabolic equations with the nonsmooth data, in: Applied Mathematics and Computer Software, Moscow, 1985, 26-28.
- Ashyralyev A. and Sobolevskii P. E., Stability in a Holder norms of the difference schemes for parabolic equations, in: Numerical Methods for the Solving of the Transport Equations, Tartu, 1986, 20-23.
- Ashyralyev A. and Sobolevskii P. E., Coercive stability of the multidimensional difference elliptic equations of the 2m-th order with the variable coefficients, in: Investigations on the theory of the differential equations, Ashgabat, 1987, 31-43.
- Ashyralyev A., A purely implicit difference scheme of the second order of the approximation for parabolic equations, Izv. Akad. Nauk Turkmen. SSR Ser. Fiz.-Tekhn. Khim. Geol. Nauk, 1987, no.4, 3-13.
- Ashyralyev A., Coercive stability of a difference scheme of the second order of approximation for differential equations with a time-dependent operator in a Banach space, in: Measure and Integral, Kuybishev, KSU, 1988, 27-36.
- Ashyralyev A., On the difference schemes of a high order of the accuracy for evolution equations of the second order, in: Functional Differential Equations, Perm, 1989, 145-150.
- Ashyralyev A., Estimation of the convergence for the solution of the modification Crank-Nicolson difference schemes for parabolic equations with the nonsmooth initial data, Izv. Akad. Nauk Turkmen. SSR Ser. Fiz.-Tekhn. Khim. Geol. Nauk, 1989, no. 1, 3-8.
- Ashyralyev A., Coercive solvability of the parabolic equations in the spaces of the smooth functions, Izv. Akad. Nauk Turkmen. SSR Ser. Fiz.-Tekhn. Khim. Geol. Nauk, 1989, no. 3, 3-13.
- Ashyralyev A., On difference schemes of a higher order of accuracy for elliptic equations, in: Applications of the Methods of the Functional Analysis to the Some Nonclassical Equations of the Mathematical Physics, Novosibirsk, 1989, 3-14.
- Ashyralyev A., Coercive solvability of the elliptic equations in the spaces of the smooth functions, in: Boundary Value Problem for the Nonclassical Equations of the Mathematical Physics, Novosibirsk, 1989, no. 2, Section 2, 82-86.
- Ashyralyev A., On difference schemes of a higher order of the accuracy for semilinear evolution differential equations in a Banach space, in: Computer Science and System Analysis, Ashgabat, 1990, 66-75.
- Ashyralyev A. and Sobolevskii P. E., On a class three-step difference schemes of a higher order of the accuracy for elliptic equations in a Hilbert space, in: Numerical Methods for the Solutions of the Transport Equations, Akad. Nauk Estonsk SSR, Tartu 1990, 18-22 .
- Ashyralyev A., Estimation of the convergence of the modified difference schemes of the Pades class for elliptic equations, in: Investigation of the Theory and Approximation Methods for Differential Equations, Ashgabat, 1991, 71-79.
- Ashyralyev A. and Fattorini H.O., On difference schemes of a high order accuracy for the singular perturbation elliptic equations, in: Investigation of the theory and approximation methods for differential equations, Ashgabat, 1991, 80-83.
- Ashyralyev A. and Soltanov H., On the stability of the difference scheme for parabolic-elliptic equations in a Hilbert Space, Labour of the IMM of AS of Turkmenistan, Ashgabat, 1994, 53-57.
- Ashyralyev A., Correct solvability of the Rote difference scheme in difference spaces of the smooth functions, Labour of the ÀS of the Turkmenistan, Ashgabat, 1994, 112-118.
- Ashyralyev A. and Muradov I., On one difference scheme of a second order of accuracy for hyperbolic equations, in: Labour IMM of AS of Turkmenistan, Ashgabat, 1995, no.3, 58-63.
- Ashyralyev A. and Soltanov H., On coercive stability of difference scheme for parabolic-elliptic equations, in: Labour IMM of AS of Turkmenistan, Ashgabat, 1995, no. 3, 63-66.
- Ashyralyev A. and Samovik I.E., Coercive solvability one nonlocal boundary value problem for elliptic equations, in: Labour IMM of AS of Turkmenistan, Ashgabat, 1995, no. 3, 67-75.
- Ashyralyev A. and Amanov K., On coercive solvability of elliptic equations in Holder spaces with weight, in: Labour IM and CS of AS of Turkmenistan, Ashgabat, 1995, no. 4, 15-19.
- Ashyralyev A. and Soltanov H., On elliptic-parabolic equations in a Hilbert space, in: Labour IMM and CS of AS of Turkmenistan, Ashgabat, 1995, no. 4, 101-104.
- Ashyralyev A. and Amanov K., On coercive estimatiation in Holder norms with weight, Izv. Akad. Nauk Turkmenistan Ser. Fiz.-Tekhn. Khim. Geol. Nauk, 1996, no. 2, 3-10.
- Ashyralyev A. and Muradov I., On stability estimation of difference scheme of a first order of accuracy for hyperbolic-parabolic equations, Izv. Akad. Nauk Turkmenistan Ser. Fiz.-Tekhn. Khim.Geol.Nauk, 1996, no. 2, 1-6.
- Ashyralyev A. and Hanalyev A., Coercive stability of nolocal boundary value problem for parabolic equations in spaces Smooth functions, Izv. Akad. Nauk Turkmenistan Ser. Fiz.-Tekhn. Khim. Geol. Nauk, 1996, no. 3, 1-8.
- Ashyralyev A. and Muradov I., On difference schemes second order accuracy for hyperbolic-parabolic equations, in:Modeling the Processes in Exploration of Gas Deposits and Applied Problems of Theoretical Gas Hydrodynamics, Ashgabat, Ilym, 1998, 127-138.
- Ashyralyev A. and Prenov R., On estimation of stability solution of difference schemes for system differential equations of the first order, in: Modeling the Processes in Exploration of Gas Deposits and Applied Problems of Theoretical Gas Hydrodynamics, Ashgabat, Ilym, 1998, 138-146.
- Ashyralyev A. and Soltanov H., On one difference schemes for abstract nonlocal problem generating in investigation of the motion of gas on the homogenous space, in: Modeling the Processes in Exploration of Gas Deposits and Applied Problems of Theoretical Gas Hydrodynamics, Ashgabat, Ilym, 1998, 147-154.
- Ashyralyev A. and Hanaliyev A., Coercive estimate in Holder norms for parablic equations with dependent operator, in: Modeling the Processes in Exploration of Gas Deposits and Applied Problems of Theoretical Gas Hydrodynamics, Ashgabat, Ilim, 1998, 154-162.
- Ashyralyev A. and Yakubov A., Structure of fractional spaces generating by the transport operator, in: Modeling the Processes in Exploration of Gas Deposits and Applied Problems of Theoretical Gas Hydrodynamics, Ashgabat, Ilym, 1998, 162-172.
- Ashyralyev A. and et al, Numerical model of stabilization in the plast of filtration of oil, in: Modeling the Processes in Exploration of Gas Deposits and Applied Problems of Theoretical Gas Hydrodynamics, Ashgabat, Ilym, 1998, 32-40.
- Ashyralyev A. and et al, Investigation algorithms solutions of backward problem of filtration in the non-homogeneous collectors, in: Modeling the Processes in Exploration of Gas Deposits and Applied Problems of Theoretical Gas Hydrodynamics. Ashgabat,Ilym, 1998, 40-45.
- Ashyralyev A. and Judakova G., On equations mixed type in Hilbert space, Proceeding of the Conference TSU “Actual Problems of Applied Mathematics, Physics and Ingineering”, Ashgabad, 1999, 21-24.
- Ashyralyev A. and Orazov M.B., Theory of operators and the methods of solutions of boundary value problems for equations of mathematical physics, 8 years Turkmenistan’s Independence, Ashgabat, Ilym, 1999, 222-228.
- Ashyralyev A. Sums and their computation, Potential,Vol.7, Is. 2, 15-20, 2011.

**7.6. Papers in national conference proceedings**

- Ashyralyev A. and Ashyrov S., Approximate methods of the solution of the Cauchy problem for half-implicit integro-differential equations of a Volterra’s types, in: Proceedings of a republican symposium on the differential equations, Ashgabat, 1978, 3 pages.
- Ashyralyev A. and Sobolevskii P. E., Correct solvability of the Crank-Nicolson difference scheme in a Hilbert norms, in: Proceedings of the conference “Theoretical and Applied problems of mathematics”, Tartu, 1980, 179-180.
- Ashyralyev A., Single-step difference schemes replaced by Taylors decomposition in the two points, Proceedings of the Scientific-Practical Conference on Differential Equations and Their Applications. Ashgabat, 1993, 79-81.

**7.7. Other publications**

- Ashyralyev A., “Investigations of the difference schemes for the parabolic equations in the spaces of smooth functions”,
*Voronezh State University*, 1983 - Ashyralyev A.and Sobolevskii P.E., “Positive operators and the fractional spaces. The methodical instructions for the students of engineering grups”,
*Offset laboratory VSU, Voronezh*, 1984.

- Ashyralyev, A., Ashirov, O.A., Geldiev, H., Durdyev, N., Imamberdiev, B., Hudaykulyev, G. 1990. Tests and methodical instructions for the laboratory works for functional analysis and integral equations, TSU Printing Office, Ashgabat, pp: 53.

- Ashyralyev A., “Method of the positive operators of the investigation of the difference schemes of the high order of accuracy for parabolic and elliptic equations”,
*Institute of Mathematics,Academic Sciences, Kiev, Ukraine*, 1992. - Ashyralyev A., Ashirov A., “Problems and methodical instructions for the laboratory works for the Difference schemes for differential equations”,
*A printing house of the TSU, Ashgabat*, 1996.

- Ashyralyev, A.,Amanov K.1995. On coercive solvability of second boundary value problem for elliptic equations, TSNU Printers, Ashgabat, pp:50.
- Edited by Ashyralyev,A.,Yurtsever,A.2000. Some Problems of Applied Mathematics,FU,Istanbul, Turkey, pp:220.
- Ashyralyev, A.,Cancu,F.2010. Mathematics Olympics-Questions and Answers,Ugur Dershanaları,

Istanbul,Turkey, pp: 149.

- Edited by Ashyralyev A. 2016. “Third International Conference on Analysis and Applied Mathematics (ICAAM 2016)”, The Abstract Book, 317 pages. 07-10 September 2016. Institute of Mathematics and Mathematical Modeling, 050010, Almaty, Kazakhstan.
- Ashyralyev A. and Ashyrov S., Some approximate methods for the solution of the Cauchy problem for system of half-implicit integrodifferential equations of a Volterra’s type,Voronezh. Gosud. Univ. 1980, 17 pages. Deposited VINITI 6.24.1980, no. 2564-80.
- Ashyralyev A. and Sobolevskii P. E., On Crank-Nicolson difference scheme for parabolic equations with the variable coefficients, Proceedings of a conference “Numerical solutions of boundary value problems and Integral equations”. Tartu, 1981, pp. 4-16. The manuscript dep. In VINITI 12.4.1981, N 5535-81, Voronezh, 1981, 16 pages.
- Ashyralyev A. and Sobolevskii P. E., The theory of interpolation of linear operators and stability of the difference schemes, Manus. Dep., VINITI 10.19.1982, No 5199-82, Voronezh, 58 pages.
- Ashyralyev A., On Crank-Nicolson difference scheme, in: An informative-operative material (computing on mathematics), Preprint VS, N 2 Sib. B AS USSR, Krasnoyarsk, 1982, 9-10.
- Ashyralyev A., On the coercive stability of the Crank-Nicolson difference schemes for regularly singular parabolic equations,The manuscript dep. in VINITI 5. 23 May 1983 no. 2745-83,16 pages.
- Ashyralyev A. and Sobolevskii P. E., Investigation of the stability of the difference schemes in Holder spaces, The manuscript deposited in VINITI 4.12.1983 N 2745. Voronezh, 1983, 63 pages.
- Ashyralyev A., On the coercive stability of the Crank-Nicolson difference schemes for regularly singular parabolic equations in difference weighted Holder spaces, in: Investigations on the theory of differential equations, Ashgabat, 1983, 52-64.
- Ashyralyev A. and Sobolevskii P. E., On the coercive stability of the difference schemes for parabolic equations with variable operator coefficients in interpolation spaces, in: Investigations on the theory of differential equations, Ashgabat, 1983, 65-77.

**Projects**

- Investigation of algorithms for the solutions of problem of filtration in the non-homogeneous collectors, Project of the Higher Scientific Committee of Turkmenistan, Ashgabat, Turkmenistan, 1996-1997.
- Differential equations in a Banach space,TÜBİTAK Project,Toprag, Antalya, Akdeniz University, 1997. (joint with H. Akca).
- Modeling the processes in exploration of gas deposits and applied problems of theoretical gas hydrodynamics, Project of the Higher Scientific Committee of Turkmenistan, Ashgabat, Turkmenistan, 1999.
- Theory of operators and the stability of difference schemes of approximate solutions of the nonlocal boundary value problems for partial differential equations, University Scientific Research Project , Istanbul, Turkey, 2001-2002.
- Stability of the delay neutral differential equations and equations of the mixed types. NATO Science Fellowship, Greece, 2002 (joint withM.K.Grammatikopoulos).
- Difference schemes for delay differential equations,University Scientific Research Project, Edirne, Turkey, 2010-2012 (joint withD. Agirseven).
- Investigation of nonlocal boundary value problems for elliptic-parabolic differential equations, University Scientific Research Project, 2012-2014(Jointly with O.Gerçek).
- Investigation of nonlocal boundary value problems for hyperbolic differential equations, University Scientific Research Project, 2012-2014(Jointly with N. Aggez).
- Computational analysis of of fluid flow of unknown to the pressure, University Scientific Research Project, 2012- 2014(Jointly with A. S. Erdogan).
- Identification problems for delay differential equations, University Scientific Research Project, 2014- 2016 (Jointly with D. Agirseven)
- Investigation of fractional nonlocal boundary value problems (Kesirli lokal olmayan sınır değer problemlerinin araştırılması, Tübitak 2221 – Konuk veya Akademik İzinli Bilim İnsanı Destekleme Programı, September 2013 (Jointly with Guezane-Lakoud)
- The differential equations in partial derivative with involution. Well-posedness of problems with initial data. Supported by the Committee of Science of Ministry of Education and Science of the Republic of Kazakhstan, 01/01/2015-31/12/2017 (joint with Sarsenbi).
- Gürültü İçeren Parabolik Ters Problemlerinin Sayısal Çözümü İçin Regülarizasyon Teknikleri. Üniversite Araştırma Proje Fonu, 01/09/2015– 01/09/2016(Jointly with A.S. Erdogan).

**Administrative Affairs**

** None**

**Membership in Scientific and Administrative Organizations**

- 2006-Present: Member of International Society of Difference
- 2005-Present: Member of Turkish-American Scientists and Scholars Association.
- 2005-Present: Member of American Mathematical Society.
- 1993-2004: Turkmenistan State Committee of Int. Muhammet Al Khorezmi

Awards in Fields of Sciences and Technology.

- 2007-2012: Member of Institute of Applied Mathematics METU, Ankara, Turkey.

2012-Present: Fellow of the Islamic World Academy of Sciences (IAS).

2012-Present: Member of the Int. Council of Scientists of the Latvian Academy of Sci.

- 2012-2016: Member of the advisory board of ICPAM of Trakya University, Edirne, Turkey.
- 2008-2013: Organizer of Mathematical Olympiads, Buyukcekmece, Turkey (First in 2008,

Second in 2009, Third in 2010, Fourth in 2011, Fifth in 2012, Sixth 2013).

- 2012-Present: Chair or co-chair International Conference on Analysis and Applied Mathematics

ICAAM 2012 (Gumushane, Turkey), ICAAM2014 (Chimkent, Kazakhstan),

ICAAM2016 (Almaty, Kazakhstan),ICAAM2018 (North Cyprus, Turkey).

- 2012-Present: Guest editor of 6 volumes of special issues of international SCI journals(Boundary

Value Problems, AAA, Journal of Applied Mathematics, Filomat )

- 2012-Present: Co-editor of 5 volume of AIP Conference Proceedings (2012,2014,2015,

2016,2018).

- 2009-Present: Editorial Board Member of “Iranian Journal of Optimization”.
- 2009-Present: Editorial Board Member of Journal of “Contemporary Mathematics”.
- 2005-Present: Editorial Board Member “Global Journal of Math. and Math. Sci.”.
- 2005-Present: Editorial Board Member “ Journal of Pure and Appl.Math.Sci.”.
- 2014-Present: Editorial Advisory Board Member “Journal of Advances in Mathematics”.
- 2014-2016: Editorial Advisory Board Member “Journal of Applied Mathematics”.
- 2009-Present: Editorial Board Member of Vestnik ONU ” Researches in and Mechanics”.
- 2013-2015: Member of Associate Editor of Journal “New Trends in Mathematical Sciences“.
- 2012- 2014: Member of Editorial Board of Journal of Applied Math. & Inf. Sciences.
- 2013-2015: Member of Editorial Board ofthe Journal of Nonlinear Science and Applications.
- 2010-Present: Member of Editorial Board of TWMS J. of Applied and Mathematics.
- 2012-2016: Editor-in-Chief of Journal “Contemporary Analysis and Applied Mathematics”.
- 2014-Present: Member of the editorial advisory board of “Pure and Appl. Math. Letters”.
- 2014-Present: Member of the editorial advisory board of “Journal of Computer Science and

Applied Mathematics” (J. Comp. Sci. Appl. Math.).

- 2015-Present: Member of the International Editorial Advisory Board of “Proceedings of the

Institute of Mathematics and Mechanics, NAS of Azerbaijan” (PIMM).

- 2015-Present: Member of the Editorial Advisory Board of “Fractional Differential Calculus”.
- 2015-Present: Member of the Editorial Advisory Board of Journal “Enlightenment of Pure and

Applied Mathematics”.

- 2015-Present: Member of Editorial Board of TWMS Journal of Pure and Applied Mathematics.
- 2015-Present: Member of Editorial Board of Journal of Advances in Applied Mathematics.
- 2017-Present : Member of Editorial Board of Journal of Belgorod State University “Scientific

Bulletin Mathematics & Physics”.

**Awards**

- Gold Medal for Excellence among Secondary Schools, Ministry of Education,Turkmenistan,1972.
- Lenin’s Grant for Students, Turkmen State University, 1974-1977.
- Prize for Ph.D Thesis, Voronezh State University,Voronezh, Russia, 1983.
- Soros’s Prize for Scientists, USA, 1994.
- Master Teacher of Turkmenistan, Ministry of Education,Turkmenistan,1996.
- Selected as Thomson-Reuters Science Leader in the World Science Researchers from the Central Asian Region in 2015.
- Selected succesful national scientist of Turkmenistan in last 30 years, from list of MyNetResearch Empowering Collaboration Search (which is based on the papers published in journals appearing in Web of Science).
- a diploma for a significant contribution to the development of mathematical science by the Turkic World Mathematical Society in 2017.
- Near East University Science Honors Award for 2017.

Academic Year | Term | Course Code | Hours/Weekly | Number of Students | |

Teorical | Practical | ||||

2016-2017 | Fall | MTH787. Fractional Calculus MTH723. Algebra 1 MTH523. Algebra 1 | 3 3 3 | 0 0 0 | 4 2 9 |

Spring | MTH784. Delay Dif. Equations MTH584. Delay Dif. Equations M542. Frac. Sp. Gen. by Pos. Oper. | 3 3 3 | 0 0 0 | 2 6 2 | |

2017-2018 | Fall | MTH742.Special Topics in Math. MTH542. Special Topics in Math. MTH723. Algebra 1 MTH523. Algebra 1 MTH241. Complex Analysis | 3 3 3 3 3 | 0 0 0 0 0 | 2 3 1 7 35 |

Spring | MTH703. Applied Functional Analysis MTH503. Applied Functional Analysis MTH724. Pos. Oper. in Banach Spaces MTH524. Pos. Oper. in Banach Spaces MTH784. Delay Dif. Equations MTH584. Delay Dif. Equations | 3 3 3 3 3 3 | 0 0 0 0 0 0 | 3 3 3 3 3 3 |