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.
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页数：11
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