中国物理B ›› 2010, Vol. 19 ›› Issue (5): 50203-050203.doi: 10.1088/1674-1056/19/5/050203
石兰芳1, 莫嘉琪2
Shi Lan-Fang(石兰芳)a)b)† and Mo Jia-Qi(莫嘉琪)c)
摘要: This paper considers a class of boundary value problems for the semilinear singularly perturbed fractional differential equation. Under the suitable conditions, firstly, 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.
中图分类号: (Ordinary and partial differential equations; boundary value problems)