Analytical solution of the reaction-diffusion equation with space-time fractional derivatives by means of the generalized differential transform method

被引：0

作者：

Garg, Mridula ^{[1
]}

Manohar, Pratibha ^{[1
]}

机构：

[1] Univ Rajasthan, Dept Math, Jaipur 302004, Rajasthan, India

来源：

KUWAIT JOURNAL OF SCIENCE | 2013年 / 40卷 / 01期

关键词：

Adomian decomposition method; Caputo fractional derivative; fractional reaction-diffusion equation; generalized differential transform method; ADOMIAN DECOMPOSITION METHOD; TAYLORS FORMULA; ORDER;

D O I：

暂无

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

In the present paper we use generalized differential transform method to derive analytical solution of linear and non-linear space-time fractional reaction-diffusion equations on a finite domain. The space and time fractional derivatives are considered in Caputo sense. Some examples are given and it has been observed that, the generalized differential transform method is very effective and convenient and overcomes the difficulty of Adomian decomposition method and homotopy perturbation method.

引用

页码：23 / 34

页数：12

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