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Solution of Generalized Fractional Reaction-Diffusion Equations |
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| Authors: | R K Saxena A M Mathai H J Haubold |
| Institution: | (1) Department of Mathematics and Statistics, Jai Narain Vyas University, Jodhpur, 342005, India;(2) Department of Mathematics and Statistics, McGill University, Montreal, Canada, H3A 2K6;(3) Office for Outer Space Affairs, United Nations, P.O. Box 500, A-1400 Vienna, Austria |
| Abstract: | This paper deals with the investigation of a closed form solution of a generalized fractional reaction-diffusion equation. The solution of the proposed problem is developed in a compact form in terms of the H-function by the application of direct and inverse Laplace and Fourier transforms. Fractional order moments and the asymptotic expansion of the solution are also obtained. |
| Keywords: | Fractional reaction-diffusion Integral transforms Mittag-Leffler function Fox H-function |
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