Solution of Generalized Fractional Reaction-Diffusion Equations

被引：48
|
作者：
R. K. Saxena
A. M. Mathai
H. J. Haubold
机构：
[1] Jai Narain Vyas University,Department of Mathematics and Statistics
[2] McGill University,Department of Mathematics and Statistics
[3] United Nations,Office for Outer Space Affairs
来源：
Astrophysics and Space Science | 2006年 / 305卷 / 3期
关键词：
Fractional reaction-diffusion; Integral transforms; Mittag-Leffler function; Fox H-function;
D O I：
10.1007/s10509-006-9191-z
中图分类号：
学科分类号：
摘要：
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.
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