ANALYTICAL SOLUTIONS FOR THE MULTI-TERM TIME-SPACE FRACTIONAL REACTION-DIFFUSION EQUATIONS ON AN INFINITE DOMAIN

被引：23

作者：

Ding, Xiao-Li ^{[1
]}

Nieto, Juan J. ^{[2
,3
]}

机构：

[1] Xian Polytech Univ, Sch Sci, Xian 710048, Shaanxi, Peoples R China

[2] Univ Santiago de Compostela, Fac Matemat, Dept Anal Matemat, Santiago De Compostela 15782, Spain

[3] King Abdulaziz Univ, Fac Sci, Jeddah 21589, Saudi Arabia

来源：

FRACTIONAL CALCULUS AND APPLIED ANALYSIS | 2015年 / 18卷 / 03期

关键词：

multi-term time-space fractional reaction-diffusion equation; analytical solution; integral transform; Mittag-Leffler function; ANOMALOUS DIFFUSION; TRANSPORT;

D O I：

10.1515/fca-2015-0043

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider the analytical solutions of multi-term time-space fractional reaction-diffusion equations on an infinite domain. The results are presented in a compact and elegant form in terms of the Mittag-Leffler functions. The importance of the derived results lies in the fact that numerous results on fractional reaction, fractional diffusion, fractional wave problems, and fractional telegraph equations scattered in the literature can be derived as special cases of the results presented in this paper.

引用

页码：697 / 716

页数：20

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