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


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

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

  • Cilt numarası: 11 Konu: 1
  • Basım Tarihi: 2020
  • Doi Numarası: 10.26713/cma.v11i1.1293
  • Dergi Adı: COMMUNICATIONS IN MATHEMATICS AND APPLICATIONS
  • Sayfa Sayıları: ss.173-179

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.