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