ON THE SOLUTIONS OF FRACTIONAL REACTION-DIFFUSION EQUATIONS

被引：7
|
作者：
Singh, Jagdev [1 ]
Kumar, Devendra [2 ]
Rathore, Sushila [3 ]
机构：
[1] Jagan Nath Univ, Dept Math, Jaipur 303901, Rajasthan, India
[2] JaganNath Gupta Inst Engn & Technol, Dept Math, Jaipur 302022, Rajasthan, India
[3] Jagan Nath Univ, Dept Phys, Jaipur 303901, Rajasthan, India
来源：
MATEMATICHE | 2013年 / 68卷 / 01期
关键词：
Fractional reaction; diffusion equation; Mittag-Leffler function; Caputo derivative; Generalized Riemann-Liouville fractional derivative; Riesz-Feller fractional derivative; Laplace transform; Fourier transform;
D O I：
10.4418/2013.68.1.3
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we obtain the solution of a fractional reaction-diffusion equation associated with the generalized Riemann-Liouville fractional derivative as the time derivative and Riesz-Feller fractional derivative as the space-derivative. The results are derived by the application of the Laplace and Fourier transforms in compact and elegant form in terms of Mittag-Leffler function and H-function. The results obtained here are of general nature and include the results investigated earlier by many authors.
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页码：23 / 32
页数：10
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