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

Suleyman Cetinkaya, Ali Demir, Hülya Kodal Sevindir

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.


Keywords


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

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References


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DOI: http://dx.doi.org/10.26713%2Fcma.v11i1.1293

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