Boundary Value Problems
Volume 2011 (2011), Article ID 297026, 12 pages
doi:10.1155/2011/297026
Research Article

Positive Solution of Singular Boundary Value Problem for a Nonlinear Fractional Differential Equation

Changyou Wang,1,2,3 Ruifang Wang,2,4 Shu Wang,3 and Chunde Yang1

1College of Mathematics and Physics, Chongqing University of Posts and Telecommunications, Chongqing 400065, China
2Key Laboratory of Network Control & Intelligent Instrument, Chongqing University of Posts and Telecommunications, Ministry of Education, Chongqing 400065, China
3College of Applied Sciences, Beijing University of Technology, Beijing 100124, China
4Automation Institute, Chongqing University of Posts and Telecommunications, Chongqing 400065, China

Received 16 August 2010; Revised 16 November 2010; Accepted 9 January 2011

Academic Editor: M. Salim

Copyright © 2011 Changyou 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

The method of upper and lower solutions and the Schauder fixed point theorem are used to investigate the existence and uniqueness of a positive solution to a singular boundary value problem for a class of nonlinear fractional differential equations with non-monotone term. Moreover, the existence of maximal and minimal solutions for the problem is also given.