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Research articles

ScienceAsia 39S(2013): 57-66 |doi: 10.2306/scienceasia1513-1874.2013.39S.057

Exact solutions to some models of distributed-order time fractional diffusion equations via the Fox H functions

Alireza Ansaria,*, Mohammad Moradib

ABSTRACT:     In this article, three types of time-fractional diffusion equation of distributed order are introduced and some aspects of these equations are discussed. Using the appropriate joint integral transforms, fundamental solutions of these equations are obtained through the Fox H functions. The Mellin transform is an approach to change the fundamental solutions into the Fox H functions.

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a Department of Applied Mathematics, Faculty of Mathematical Sciences, Shahrekord University, P.O. Box 115, Shahrekord, Iran
b Department of Physics, Faculty of Sciences, Shahrekord University, P.O. Box 115, Shahrekord, Iran

* Corresponding author, E-mail: alireza_1038@yahoo.com

Received 7 Jan 2013, Accepted 5 Apr 2013