Existence of Solutions to Anti-Periodic Boundary Value Problem for Nonlinear Fractional Differential Equations with Impulses

Advances in Difference Equations

Anping Chen¹  Yi Chen² 

[1] Department of Mathematics, Xiangnan University, Chenzhou, Hunan, China;School of Mathematics and Computational Science, Xiangtan University, Xiangtan, Hunan, China

关键词: Fractional Order;    Fixed Point Theorem;    Mild Solution;    Fractional Differential Equation;    Impulsive Differential Equation;   

DOI  :  10.1155/2011/915689

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

This paper discusses the existence of solutions to antiperiodic boundary value problem for nonlinear impulsive fractional differential equations. By using Banach fixed point theorem, Schaefer fixed point theorem, and nonlinear alternative of Leray-Schauder type theorem, some existence results of solutions are obtained. An example is given to illustrate the main result.

【 授权许可】

CC BY