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 / 19卷 / 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.
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页码：16 / 20
页数：5
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