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

Advances in Difference Equations

Wen-Xue Zhou¹  Xu Liu² 

[1] College of Mathematics and Physics, Lanzhou Jiaotong University, Lanzhou, China;School of Mathematical Sciences, Fudan University, Shanghai, China

关键词: boundary value problem;    impulsive fractional differential equations;    Caputo fractional derivative;    existence of solutions;    fixed point theorem;   

DOI  :  10.1186/1687-1847-2014-12

学科分类：数学（综合）

来源: SpringerOpen

【 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. MSC:26A33, 34B15.

【 授权许可】

CC BY