Positive Solution of Singular Boundary Value Problem for a Nonlinear Fractional Differential Equation
1 College of Mathematics and Physics, Chongqing University of Posts and Telecommunications, Chongqing 400065, China
2 Key Laboratory of Network Control & Intelligent Instrument, Chongqing University of Posts and Telecommunications, Ministry of Education, Chongqing 400065, China
3 College of Applied Sciences, Beijing University of Technology, Beijing 100124, China
4 Automation Institute, Chongqing University of Posts and Telecommunications, Chongqing 400065, China
Boundary Value Problems 2011, 2011:297026 doi:10.1155/2011/297026Published: 17 January 2011
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.