THE ANALYTIC SOLUTION OF SEQUENTIAL SPACE-TIME FRACTIONAL DIFFUSION EQUATION INCLUDING PERIODIC BOUNDARY CONDITIONS

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ÇETİNKAYA S., DEMİR A., KODAL SEVİNDİR H.

JOURNAL OF MATHEMATICAL ANALYSIS, vol.11, no.1, pp.17-26, 2020 (ESCI, Scopus)

• Publication Type: Article / Article
• Volume: 11 Issue: 1
• Publication Date: 2020
• Journal Name: JOURNAL OF MATHEMATICAL ANALYSIS
• Journal Indexes: Emerging Sources Citation Index (ESCI), Scopus
• Page Numbers: pp.17-26
• Open Archive Collection: AVESIS Open Access Collection
• Kocaeli University Affiliated: Yes

Abstract

In this paper, the analytic solution of sequential space-time fractional differential equation with periodic boundary conditions in one dimension is established. It is constructed in the form of a Fourier series by taking the eigenfunctions of Sturm-Liouville problem with fractional derivative in Caputo sense into account.