Fractional Reaction-Diffusion Equations

被引：0
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
关键词：
Reaction-diffusion; Fractional calculus; Mittag-Leffler function; Laplace transform; Mellin transform; Fox H-function;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In a series of papers, Saxena et al. (2002, 2004a, 2004b) derived solutions of a number of fractional kinetic equations in terms of generalized Mittag-Leffler functions which provide the extension of the work of Haubold and Mathai (1995, 2000). The subject of the present paper is to investigate the solution of a fractional reaction-diffusion equation. The results derived are of general nature and include the results reported earlier by many authors, notably by Jespersen et al. (1999) for anomalous diffusion and del-Castillo-Negrete et al. (2003) for reaction-diffusion systems with Lévy flights. The solution has been developed in terms of the H-function in a compact form with the help of Laplace and Fourier transforms. Most of the results obtained are in a form suitable for numerical computation.
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页码：289 / 296
页数：7
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