河北科技大学学报2016，Vol.37Issue(6)：562-574,13.DOI:10.7535/hbkd.2016yx06007
分数阶脉冲微分方程边值问题解的存在性
Existence of solutions to boundary value problem of fractional differential equations with impulsive
摘要
Abstract
In order to solve the boundary value problem of fractional impulsive differential equations with countable impulses and integral boundary conditions on the half line, the existence of solutions to the boundary problem is specifically studied.By defining suitable Banach spaces, norms and operators, using the properties of fractional calculus and applying the contraction mapping principle and Krasnoselskii's fixed point theorem, the existence of solutions for the boundary value problem of fractional impulsive differential equations with countable impulses and integral boundary conditions on the half line is proved, and examples are given to illustrate the existence of solutions to this kind of equation boundary value problems.关键词
常微分方程解析理论/脉冲/压缩映像原理/Krasnoselskii不动点定理/边值问题/半无穷区间Key words
analytic theory of ordinary differential equation/impulse/contraction mapping theorem/Krasnoselskii's fixed point theorem/boundary value problem/the half line分类
数理科学引用本文复制引用
江卫华,李庆敏,周彩莲..分数阶脉冲微分方程边值问题解的存在性[J].河北科技大学学报,2016,37(6):562-574,13.基金项目
河北省自然科学基金(A2013208108) （A2013208108）
