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Çetinkaya S., Demir A., Kodal Sevindir H.
COMMUNICATIONS IN MATHEMATICS AND APPLICATIONS, vol.11, pp.173-179, 2020 (ESCI)
Article / Article
COMMUNICATIONS IN MATHEMATICS AND APPLICATIONS
Emerging Sources Citation Index (ESCI)
Caputo fractional derivative, Space-fractional diffusion equation, Mittag-Leffler function, Periodic-boundary-value problems, Spectral method, PARTIAL-DIFFERENTIAL-EQUATIONS, INVERSE PROBLEM
Kocaeli University Affiliated:
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.