Asymptopic solution for a class of semilinear singularly perturbed fractional differential equation

被引：0

作者：

石兰 ^{[1
,2
]}

莫嘉琪 ^{[3
]}

机构：

[1] College of Mathematics and Physics,Nanjing University of Information Science and Technology

[2] College of Sciences,Hohai University

[3] Department of Mathematics,Anhui Normal University

来源：

Chinese Physics B | 2010年 / 05期

基金：

中国国家自然科学基金;

关键词：

semilinear; fractional differential equation; singular perturbation;

D O I：

暂无

中图分类号：

O411.1 [数学物理方法]; O175 [微分方程、积分方程];

学科分类号：

0701 ; 070104 ;

摘要：

This paper considers a class of boundary value problems for the semilinear singularly perturbed fractional differential equation.Under the suitable conditions,first,the outer solution of the original problem is obtained;secondly,using the stretched variable and the composing expansion method the boundary layer is constructed;finally,using the theory of differential inequalities the asymptotic behaviour of solution for the problem is studied and the uniformly valid asymptotic estimation is discussed.

引用

页码：16 / 20

页数：5

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