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

被引：7

作者：

Zhou, Wen-Xue ^{[1
,2
]}

Liu, Xu ^{[1
]}

机构：

[1] Lanzhou Jiaotong Univ, Coll Math & Phys, Lanzhou 730070, Peoples R China

[2] Fudan Univ, Sch Math Sci, Shanghai 200433, Peoples R China

来源：

ADVANCES IN DIFFERENCE EQUATIONS | 2014年

基金：

中国国家自然科学基金;

关键词：

boundary value problem; impulsive fractional differential equations; Caputo fractional derivative; existence of solutions; fixed point theorem; POSITIVE SOLUTIONS; ORDER;

D O I：

10.1186/1687-1847-2014-12

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

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.

引用

页数：12

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