International Journal of Differential Equations
Volume 2010 (2010), Article ID 186928, 12 pages
doi:10.1155/2010/186928
Research Article

Positive Solution to Nonzero Boundary Values Problem for a Coupled System of Nonlinear Fractional Differential Equations

Jinhua Wang, Hongjun Xiang, and Zhigang Liu

Department of Mathematics, Xiangnan University, Chenzhou 423000, China

Received 13 April 2009; Accepted 9 June 2009

Academic Editor: Shaher Momani

Copyright © 2010 Jinhua Wang 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

We consider the existence and uniqueness of positive solution to nonzero boundary values problem for a coupled system of fractional differential equations. The differential operator is taken in the standard Riemann-Liouville sense. By using Banach fixed point theorem and nonlinear differentiation of Leray-Schauder type, the existence and uniqueness of positive solution are obtained. Two examples are given to demonstrate the feasibility of the obtained results.