数学杂志2016，Vol.36Issue(2)：239-245,7.
奇摄动分数阶微分方程的渐近解
ASYMPTOPIC SOLUTION FOR SINGULARLY PERTURBED FRACTIONAL ORDER DIFFERENTIAL EQUATION
摘要
Abstract
In this paper, a class of initial value problem for the singularly perturbed frac-tional order nonlinear differential equation is considered. Using the stretched variable method, a formal solution and its asymptotic expansion are constructed. And the uniformly valid asymptotic expansion of solution is proved by using the theory of differential inequalities. From obtained result, we know that this approximate solution possesses good accuracy.关键词
分数阶微分方程/奇摄动/渐近解Key words
fractional order differential equation/singular perturbation/asymptotic solu-tion分类
数理科学引用本文复制引用
冯依虎,莫嘉琪..奇摄动分数阶微分方程的渐近解[J].数学杂志,2016,36(2):239-245,7.基金项目
Supported by the National Natural Science Foundation of China (11202106) and the Natural Science Foundation of the Education Department of Anhui Province (KJ2015A347 （11202106）
KJ2013B153) （）
