Sequential time space fractional diffusion equation including nonhomogenous initial boundary conditions

ÇETİNKAYA S., DEMİR A.

TBILISI MATHEMATICAL JOURNAL, cilt.14, sa.2, ss.83-91, 2021 (ESCI) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 14 Sayı: 2
  • Basım Tarihi: 2021
  • Doi Numarası: 10.32513/tmj/19322008124
  • Dergi Adı: TBILISI MATHEMATICAL JOURNAL
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI)
  • Sayfa Sayıları: ss.83-91
  • Kocaeli Üniversitesi Adresli: Evet

Özet

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.