The Analytic Solution of Initial Periodic Boundary Value Problem Including Sequential Time Fractional Diffusion Equation

Authors

  • Suleyman Cetinkaya Department of Mathematics, Kocaeli University, Kocaeli
  • Ali Demir Department of Mathematics, Kocaeli University, Kocaeli
  • Hülya Kodal Sevindir Department of Mathematics, Kocaeli University, Kocaeli

DOI:

https://doi.org/10.26713/cma.v11i1.1293

Keywords:

Caputo fractional derivative, Space-fractional diffusion equation, Mittag-Leffler function, Periodic-boundary-value problems, Spectral method

Abstract

In this study, the separation of variables method is applied to form the analytic solution of periodic boundary value problem including time fractional differential equation with periodic boundary conditions in one dimension. The solution is obtained in the form of a Fourier series with respect to the eigenfunctions of a corresponding Sturm-Liouville eigenvalue problem.

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References

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Published

31-03-2020
CITATION

How to Cite

Cetinkaya, S., Demir, A., & Sevindir, H. K. (2020). The Analytic Solution of Initial Periodic Boundary Value Problem Including Sequential Time Fractional Diffusion Equation. Communications in Mathematics and Applications, 11(1), 173–179. https://doi.org/10.26713/cma.v11i1.1293

Issue

Vol. 11 No. 1 (2020)

Section

Research Article

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