摘要
研究了一类分数阶脉冲微分方程三点边值问题解的存在性和唯一性。利用Schauder不动点定理及压缩映射原理,获得了该边值问题解的存在性和唯一性定理。
The existence and uniqueness of solutions is investigated for a class of three point boundary value problems of fractional differential equations with impulsive. By using the Schauder fixed point theorem and contraction mapping principle,some theorems about the existence and uniqueness of solutions for the boundary value problem are obtained.
出处
《山东大学学报（理学版）》
CAS
CSCD
北大核心
2017年第2期66-72,共7页
Journal of Shandong University(Natural Science)
基金
国家自然科学基金资助项目(11171220)
沪江基金资助项目(B14005)
关键词
三点边值问题
分数阶脉冲微分方程
CAPUTO导数
存在性与唯一性
不动点定理
three-point boundary value problem
impulsive fractional differential equations
Caputo derivative
existence and uniqueness
fixed point theorem
