Existence of solution to a class of boundary value problem for impulsive fractional differential equations

被引：0
|
作者：
Wen-Xue Zhou
Xu Liu
机构：
[1] Lanzhou Jiaotong University,College of Mathematics and Physics
[2] Fudan University,School of Mathematical Sciences
来源：
Advances in Difference Equations | / 2014卷
关键词：
boundary value problem; impulsive fractional differential equations; Caputo fractional derivative; existence of solutions; fixed point theorem;
D O I：
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学科分类号：
摘要：
By means of the Green function, the boundary value problem of a fractional differential equation can be reduced to the equivalent integral equation. Recently, this method has been used successfully to discuss the existence of the solution to the boundary value problem of a nonlinear fractional differential equation. By applying the nonlinear alternative of the Leray-Schauder type and the Krasnoselskii fixed point theorem, we investigate the boundary value problem of a nonlinear impulsive fractional differential equation, and we obtain two existence results for the solution.
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