摘要
研究了一类奇摄动分数阶微分方程初值问题.在适当的条件下,首先求出了原问题的外部解,然后利用伸长变量、合成展开法构造出解的初始层项,并由此得到解的形式渐近展开式.讨论了问题解的渐近性态,得到了原问题解的一致有效的渐近估计式.
A class of initial value problems for the singularly perturbed fractional differential equation is considered. 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 initial layer is constructed; finally, the asymptotic behavior of solution for the problem is studied and the uniformly valid asymptotic estimation is discussed.
出处
《南开大学学报（自然科学版）》
CAS
CSCD
北大核心
2015年第5期60-64,共5页
Acta Scientiarum Naturalium Universitatis Nankaiensis
基金
Supported by the National Natural Science Foundation of China(11202106)
关键词
分数阶微分方程
奇摄动
渐近解
nonlinear equation
singular perturbation
asymptotic solution
作者简介
Shi Juanrong（1981-）, female, native place： Anhui Xuancheng, associate professor, direction of re- search： applied mathematics. E-mail： ahjdshjr@126.com
