Sequential time space fractional diffusion equation including nonhomogenous initial boundary conditions
TBILISI MATHEMATICAL JOURNAL, cilt.14, sa.2, ss.83-91, 2021 (ESCI)
- 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.