一类奇摄动分数阶微分方程的渐近解  

Asymptotic solution for a class of singularly perturbed fractional differential equations

作　　者：李金洲 包立平[1] LI Jinzhou;BAO Liping(School of Sciences,Hangzhou Dianzi University,Hangzhou Zhejiang 310018,China)

机构地区：[1]杭州电子科技大学理学院,浙江杭州310018

出　　处：《杭州电子科技大学学报（自然科学版）》2022年第1期98-102,共5页Journal of Hangzhou Dianzi University：Natural Sciences

基　　金：国家自然科学基金资助项目(51775154)。

摘　　要：讨论了一类奇摄动分数阶微分方程边值问题。在适当假设条件下,先求出该问题的外部解,再运用双参数展开理论构造出边界层矫正项,得到解的形式渐近展开式,最后运用极值原理进行余项估计。A class of the boundary value problem for the singularly perturbed fractional differential equation is considered.Under the suitable conditions,firstly,the outer solution of the original problem is obtained by Volterra integral equation;secondly,using the two-parameters expanding theory of power series,the boundary layers are constructed;finally,by using the extremum principle of fractional differential equation,the remainder is estimated.

关 键 词：分数阶微分方程 双参数 奇摄动 

分 类 号：O175.2[理学—数学]