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

作　　者：石兰 莫嘉琪 

机构地区：[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

出　　处：《Chinese Physics B》2010年第5期12-16,共5页中国物理B（英文版）

基　　金：Project supported by the National Natural Science Foundation of China (Grant Nos. 40676016 and 40876010);the Knowledge Innovation Project of Chinese Academy of Sciences (Grant No. KZCX2-YW-Q03-08);LASG State Key Laboratory Special Fund and R&D Special Fund for Public Welfare Industry (meteorology) (Grant No. GYHY200806010)

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.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.

关 键 词：SEMILINEAR fractional differential equation singular perturbation 

分 类 号：O411.1[理学—理论物理] O175[理学—物理]