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, cilt.11, sa.1, ss.17-26, 2020 (ESCI) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 11 Sayı: 1
  • Basım Tarihi: 2020
  • Dergi Adı: JOURNAL OF MATHEMATICAL ANALYSIS
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus
  • Sayfa Sayıları: ss.17-26
  • Kocaeli Üniversitesi Adresli: Evet

Özet

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.