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

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Çetinkaya S., Demir A., Kodal Sevindir H.

COMMUNICATIONS IN MATHEMATICS AND APPLICATIONS, cilt.11, ss.173-179, 2020 (ESCI) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 11
  • Basım Tarihi: 2020
  • Doi Numarası: 10.26713/cma.v11i1.1293
  • Dergi Adı: COMMUNICATIONS IN MATHEMATICS AND APPLICATIONS
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI)
  • Sayfa Sayıları: ss.173-179
  • Anahtar Kelimeler: Caputo fractional derivative, Space-fractional diffusion equation, Mittag-Leffler function, Periodic-boundary-value problems, Spectral method, PARTIAL-DIFFERENTIAL-EQUATIONS, INVERSE PROBLEM
  • Kocaeli Üniversitesi Adresli: Evet

Özet

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.