Boundary Value Problems
Volume 2009 (2009), Article ID 421310, 10 pages
doi:10.1155/2009/421310
Research Article

Existence and Uniqueness of Positive and Nondecreasing Solutions for a Class of Singular Fractional Boundary Value Problems

J. Caballero Mena, J. Harjani, and K. Sadarangani

Departamento de Matemáticas, Universidad de Las Palmas de Gran Canaria, Campus de Tafira Baja, 35017 Las Palmas de Gran Canaria, Spain

Received 24 April 2009; Accepted 14 June 2009

Academic Editor: Juan José Nieto

Copyright © 2009 J. Caballero Mena 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 establish the existence and uniqueness of a positive and nondecreasing solution to a singular boundary value problem of a class of nonlinear fractional differential equation. Our analysis relies on a fixed point theorem in partially ordered sets.