Solutions of the Fractional Reaction Equation and the Fractional Diffusion Equation

Details Solutions of the Fractional Reaction Equation and the Fractional Diffusion Equation Solutions of the Fractional Reaction Equation and the Fractional Diffusion Equation

2010-01-13

arxiv.org/abs/1001.2293v1

Proceedings of the Third UN/ESA/NASA Workshop on the International Heliophysical Year 2007 and Basic Space Science, Eds. H.J.

Physics

Mathematical Physics

10 pages, LaTeX

Scientific paper

In view of the role of reaction equations in physical problems, the authors derive the explicit solution of a fractional reaction equation of general character, that unifies and extends earlier results. Further, an alternative shorter method based on a result developed by the authors is given to derive the solution of a fractional diffusion equation. Fox functions and Mittag-Leffler functions are used for closed-form representations of the solutions of the respective differential equations.

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