Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
9509710 | Journal of Computational and Applied Mathematics | 2005 | 11 Pages |
Abstract
The H functions, introduced by Fox in 1961, are special functions of a very general nature, which allow one to treat several phenomena including anomalous diffusion in a unified and elegant framework. In this paper we express the fundamental solutions of the Cauchy problem for the space-time fractional diffusion equation in terms of proper Fox H functions, based on their Mellin-Barnes integral representations. We pay attention to the particular cases of space-fractional, time-fractional and neutral-fractional diffusion.
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Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Francesco Mainardi, Gianni Pagnini, R.K. Saxena,