On positive solutions for a class of singular nonlinear fractional differential equations
Department of Mathematics, King Saud University, Riyadh, Saudi Arabia
Boundary Value Problems 2012, 2012:73 doi:10.1186/1687-2770-2012-73Published: 12 July 2012
We study the existence and uniqueness of a positive solution for the singular nonlinear fractional differential equation boundary value problem
where is a real number, is the Riemann-Liouville fractional derivative and is continuous, (f is singular at ). Our approach is based on a coupled fixed point theorem on ordered metric spaces. An example is given to illustrate our main result.
MSC: 34A08, 34B16, 47H10.