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Akademický článek

On Basis Property of Root Functions For a Class Second Order Differential Operator

Publikováno v: Applied Mathematics and Nonlinear Sciences, Vol 5, Iss 1, Pp 361-368 (2020)

In this work we investigate the completeness, minimality and basis properties of the eigenfunctions of one class discontinuous Sturm-Liouville equation with a spectral parameter in boundary conditions.

Externí odkaz: https://doaj.org/article/b8ff90a448d24897b0539b557f472362

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Akademický článek

On Two-Fold Expansion Formulas For A Singular Sturm-Liouville Operator

Autor: ALA Volkan, MAMEDOV Khanlar R.

Publikováno v: Journal of Applied Computer Science & Mathematics, Vol 13, Iss 2, Pp 45-49 (2019)

In this paper, a singular Sturm-Liouville problem dependent spectral parameter in boundary condition is considered. Special solutions and scattering datas are defined. The resolvent operator is constructed and two-fold spectral expansion formulas in

Externí odkaz: https://doaj.org/article/2162a22f45f945599062159fad36a468

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Akademický článek

An application of improved Bernoulli sub-equation function method to the nonlinear conformable time-fractional equation.

Autor: Demirbilek, Ulviye¹ ulviyedemirbilek@gmail.com, Ala, Volkan¹ volkanala@mersin.edu.tr, Mamedov, Khanlar R.¹ hanlar@mersin.edu.tr

Publikováno v: Tbilisi Mathematical Journal. 2021, Vol. 14 Issue 3, p59-70. 12p.

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Akademický článek

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Akademický článek

Analytical Solutions of Nonlinear Beta Fractional Schrödinger Equation Via Sine-Cosine Method.

Autor: Ala, Volkan, Shaikhova, Gaukhar

Publikováno v: Lobachevskii Journal of Mathematics; Nov2022, Vol. 43 Issue 11, p3033-3038, 6p

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On the Exact Solutions of a Nonlinear Conformable Time Fractional Equation via IBSEFM

Autor: DEMİRBİLEK, Ulviye, ALA, Volkan, MAMEDOV, Khanlar R.

Publikováno v: Volume: 3, Issue: 1 203-206
Conference Proceedings of Science and Technology

Investigating the solutions of fractional differential equations are essential to understand the nonlinear process that appears in some branch of physical phenomena such as optics, quantum electrons, control theory of dynamical systems. Several compu

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=tubitakulakb::aa743a4148188441aa003f97c8d35424
https://dergipark.org.tr/tr/pub/cpost/issue/57935/779182

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Akademický článek

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Discontinuous Density Function Identification

Autor: ALA, Volkan, REŞİDOĞLU, Hanlar, AKHTYAMOV, Azamat M.

Publikováno v: Volume: 12, Issue: 1 45-48
Turkish Journal of Mathematics and Computer Science

The work is devoted to the identification step density function of a string. The inverse problem consists of recovering constant densities $ \rho_{i}$ of eigenvalue problem. It is shown that if we use only the natural frequencies of the boundary valu

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=tubitakulakb::cbb0166ef6ed44bb4ecfb3bfd009f76e
https://dergipark.org.tr/tr/pub/tjmcs/issue/55525/643644

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