Group analysis of the time fractional generalized diffusion equation

被引：16

作者：

Lashkarian, Elham ^{[1
]}

Hejazi, S. Reza ^{[1
]}

机构：

[1] Shahrood Univ Technol, Dept Math Sci, Shahrood, Semnan, Iran

来源：

PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS | 2017年 / 479卷

关键词：

Lie symmetry; Fractional derivatives; Erdelyi-Kober operators; Optimal system; DIFFERENTIAL-EQUATIONS; ORDER;

D O I：

10.1016/j.physa.2017.02.062

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

This paper is concerned with the time fractional derivatives (Riemann-Liouville) of non-linear anomalous diffusion equation. Using Lie symmetry method, we show this equation can be reduced to Erdelyi-Kober fractional derivatives type. Then all of the symmetry vector fields and some exact solutions of our time fractional non-linear equation are obtained. (C) 2017 Elsevier B.V. All rights reserved.

引用

页码：572 / 579

页数：8

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