Lie group analysis method for two classes of fractional partial differential equations

被引：29
作者：
Chen, Cheng [1 ]
Jiang, Yao-Lin [1 ]
机构：
[1] Xi An Jiao Tong Univ, Sch Math & Stat, Xian 710049, Shaanxi, Peoples R China
来源：
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION | 2015年 / 26卷 / 1-3期
关键词：
Fractional partial differential equation; Lie group analysis; Infinitesimal generator; Modified Riemann-Liouville; NUMERICAL-SOLUTIONS; BURGERS;
D O I：
10.1016/j.cnsns.2015.01.018
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper we deal with two classes of fractional partial differential equation: n order linear fractional partial differential equation and nonlinear fractional reaction diffusion convection equation, by using the Lie group analysis method. The infinitesimal generators general formula of n order linear fractional partial differential equation is obtained. For nonlinear fractional reaction diffusion convection equation, the properties of their infinitesimal generators are considered. The four special cases are exhaustively investigated respectively. At the same time some examples of the corresponding case are also given. So it is very convenient to solve the infinitesimal generator of some fractional partial differential equation. (C) 2015 Elsevier B.V. All rights reserved.
引用
收藏
页码：24 / 35
页数：12
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