Advances in Difference Equations
Volume 2011 (2011), Article ID 713201, 12 pages
doi:10.1155/2011/713201
Research Article

Existence Results for Nonlinear Fractional Difference Equation

Fulai Chen,1 Xiannan Luo,2 and Yong Zhou2

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

Received 27 September 2010; Accepted 12 December 2010

Academic Editor: J. J. Trujillo

Copyright © 2011 Fulai Chen et al. 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 is concerned with the initial value problem to a nonlinear fractional difference equation with the Caputo like difference operator. By means of some fixed point theorems, global and local existence results of solutions are obtained. An example is also provided to illustrate our main result.