Sequential time space fractional diffusion equation including nonhomogenous initial boundary conditions

ÇETİNKAYA S., DEMİR A.

TBILISI MATHEMATICAL JOURNAL, vol.14, no.2, pp.83-91, 2021 (ESCI) identifier identifier

  • Publication Type: Article / Article
  • Volume: 14 Issue: 2
  • Publication Date: 2021
  • Doi Number: 10.32513/tmj/19322008124
  • Journal Name: TBILISI MATHEMATICAL JOURNAL
  • Journal Indexes: Emerging Sources Citation Index (ESCI)
  • Page Numbers: pp.83-91
  • Kocaeli University Affiliated: Yes

Abstract

In this research, we discuss the construction of analytic solution of non-homogenous initial boundary value problem including PDEs of fractional order. By means of separation of variables method, the solution is constructed in the form of a Fourier series with respect to the eigen-functions of a corresponding Sturm-Liouville eigenvalue problem including fractional derivative in Liouville-Caputo sense.