THE ANALYTIC SOLUTION OF INITIAL BOUNDARY VALUE PROBLEM INCLUDING TIME FRACTIONAL DIFFUSION EQUATION


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

Facta Universitatis, Series: Mathematics and Informatics, cilt.35, ss.243-252, 2020 (Diğer Kurumların Hakemli Dergileri)

  • Cilt numarası: 35 Konu: 1
  • Basım Tarihi: 2020
  • Doi Numarası: 10.22190/fumi2001243c
  • Dergi Adı: Facta Universitatis, Series: Mathematics and Informatics
  • Sayfa Sayıları: ss.243-252

Özet

The motivation of this study is to determine the analytic solution of initial boundary value problem including time fractional differential equation with Neumann boundary conditions in one dimension. By making use of seperation of variables, the solution is constructed in the form of a Fourier series with respect to the eigenfunctions of a corresponding Sturm-Liouville eigenvalue problem.