Scale-invariant solutions to partial differential equations of fractional order with a moving boundary condition

被引：25

作者：

Li, Xicheng ^{[1
]}

Xu, Mingyu ^{[1
]}

Wang, Shaowei ^{[2
]}

机构：

[1] Shandong Univ, Sch Math & Syst Sci, Inst Appl Math, Jinan 250100, Peoples R China

[2] Peking Univ, Dept Mech & Engn Sci, Beijing 100871, Peoples R China

来源：

JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL | 2008年 / 41卷 / 15期

关键词：

D O I：

10.1088/1751-8113/41/15/155202

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In this paper, we give similarity solutions of partial differential equations of fractional order with a moving boundary condition. The solutions are given in terms of a generalized Wright function. The time-fractional Caputo derivative and two types of space-fractional derivatives are considered. The scale-invariant variable and the form of the solution of the moving boundary are obtained by the Lie group analysis. A comparison between the solutions corresponding to two types of fractional derivative is also given.

引用

页数：11

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