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.