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arXiv · 1001.2293

Solutions of the Fractional Reaction Equation and the Fractional Diffusion Equation

R. K. Saxena·A. M. Mathai·H. J. Haubold
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Abstract

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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R. K. Saxena, A. M. Mathai, H. J. Haubold. 2010-01-13. Solutions of the Fractional Reaction Equation and the Fractional Diffusion Equation. https://doi.org/10.1007/978-3-642-03325-4_7

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