Advances in Difference Equations
Volume 2011 (2011), Article ID 915689, 17 pages
doi:10.1155/2011/915689
Research Article

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

Anping Chen1,2 and Yi Chen2

1Department of Mathematics, Xiangnan University, Chenzhou, Hunan 423000, China
2School of Mathematics and Computational Science, Xiangtan University, Xiangtan, Hunan 411005, China

Received 20 October 2010; Revised 25 December 2010; Accepted 20 January 2011

Academic Editor: Dumitru Baleanu

Copyright © 2011 Anping Chen and Yi Chen. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

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.