Solutions of fractional reaction-diffusion equations in terms of the H-function

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dc.creatorHaubold, H. J.
dc.creatorMathai, A. M.
dc.creatorSaxena, R. K.
dc.date2007-04-03
dc.date2007-08-07
dc.date.accessioned2026-07-07T10:02:37Z
dc.date.available2026-07-07T10:02:37Z
dc.descriptionThis paper deals with the investigation of the solution of an unified fractional reaction-diffusion equation associated with the Caputo derivative as the time-derivative and Riesz-Feller fractional derivative as the space-derivative. The solution is derived by the application of the Laplace and Fourier transforms in closed form in terms of the H-function. The results derived are of general nature and include the results investigated earlier by many authors, notably by Mainardi et al. (2001, 2005) for the fundamental solution of the space-time fractional diffusion equation, and Saxena et al. (2006a, b) for fractional reaction- diffusion equations. The advantage of using Riesz-Feller derivative lies in the fact that the solution of the fractional reaction-diffusion equation containing this derivative includes the fundamental solution for space-time fractional diffusion, which itself is a generalization of neutral fractional diffusion, space-fractional diffusion, and time-fractional diffusion. These specialized types of diffusion can be interpreted as spatial probability density functions evolving in time and are expressible in terms of the H-functions in compact form.
dc.description9 pages, LaTeX, typos corrected
dc.identifierhttps://arxiv.org/abs/0704.0329
dc.identifierhttp://arxiv.org/abs/0704.0329
dc.identifierBull. Astr. Soc. India 35(2007)681-689
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/169034
dc.subjectProbability
dc.subjectClassical Analysis and ODEs
dc.subjectStatistics Theory
dc.titleSolutions of fractional reaction-diffusion equations in terms of the H-function
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