The solution of the time fractional diffusion equation by the generalized differential transform method
Yazarlar (2)
Prof. Dr. Ayşegül ÇETİNKAYA Kırşehir Ahi Evran Üniversitesi, Türkiye
Prof. Dr. İsmail Onur KIYMAZ Kırşehir Ahi Evran Üniversitesi, Türkiye
Makale Türü Özgün Makale (SSCI, AHCI, SCI, SCI-Exp dergilerinde yayınlanan tam makale)
Dergi Adı Mathematical and Computer Modelling
Dergi ISSN 0895-7177
Dergi Tarandığı Indeksler SCI-Expanded
Makale Dili İngilizce Basım Tarihi 05-2013
Kabul Tarihi 15-04-2026 Yayınlanma Tarihi
Cilt / Sayı / Sayfa 57 / 9 / 2349–2354 DOI 10.1016/j.mcm.2011.12.015
Makale Linki http://linkinghub.elsevier.com/retrieve/pii/S0895717711007783
Özet
In the present paper, a general recurrence relation for determining the solutions of the time-fractional diffusion equation is obtained with the generalized differential transform method. The obtained relation will help us to solve time-fractional diffusion equations with various external forces and initial conditions. Four illustrative examples are given.
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