Solutions of fractional reaction-diffusion equations in terms of Mittag-Leffler functions

Details Solutions of fractional reaction-diffusion equations in terms of Mittag-Leffler functions Solutions of fractional reaction-diffusion equations in terms of Mittag-Leffler functions

2007-08-16

arxiv.org/abs/0708.2265v1

Mathematics

Classical Analysis and ODEs

22 pages, LaTeX

Scientific paper

This paper deals with the solution of unified fractional reaction-diffusion systems. The results are obtained in compact and elegant forms in terms of Mittag-Leffler functions and generalized Mittag-Leffler functions, which are suitable for numerical computation. On account of the most general character of the derived results, numerous results on fractional reaction, fractional diffusion, and fractional reaction-diffusion problems scattered in the literature, including the recently derived results by the authors for reaction-diffusion models, follow as special cases.

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