Symmetry properties of fractional diffusion equations

被引：275

作者：

Gazizov, R. K. ^{[1
]}

Kasatkin, A. A. ^{[1
]}

Lukashchuk, S. Yu ^{[1
]}

机构：

[1] Ufa State Aviat Tech Univ, Ufa, Russia

来源：

PHYSICA SCRIPTA | 2009年 / T136卷

关键词：

DYNAMICS;

D O I：

10.1088/0031-8949/2009/T136/014016

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In this paper, nonlinear anomalous diffusion equations with time fractional derivatives (Riemann-Liouville and Caputo) of the order of 0-2 are considered. Lie point symmetries of these equations are investigated and compared. Examples of using the obtained symmetries for constructing exact solutions of the equations under consideration are presented.

引用

页数：5

共 7 条

[1]

[Anonymous], 1999, FRACTIONAL DIFFERENT

[2] Invariance of a partial differential equation of fractional order under the Lie group of scaling transformations [J].