International Journal of Mathematics and Mathematical Sciences
Volume 2012 (2012), Article ID 651508, 13 pages
http://dx.doi.org/10.1155/2012/651508
Research Article

Multiple Positive Solutions for a Fractional Boundary Value Problem with Fractional Integral Deviating Argument

A. Guezane-Lakoud1 and R. Khaldi2

1Laboratory of Advanced Materials, Faculty of Sciences, Badji Mokhtar-Annaba University, P.O. Box 12, 23000 Annaba, Algeria
2Laboratory LASEA, Faculty of Sciences, Badji Mokhtar-Annaba University, P.O. Box 12, 23000 Annaba, Algeria

Received 22 March 2012; Revised 23 May 2012; Accepted 29 May 2012

Academic Editor: Jean Michel Rakotoson

Copyright © 2012 A. Guezane-Lakoud and R. Khaldi. 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

This work is devoted to the existence of positive solutions for a fractional boundary value problem with fractional integral deviating argument. The proofs of the main results are based on Guo-Krasnoselskii fixed point theorem and Avery and Peterson fixed point theorem. Two examples are given to illustrate the obtained results, ending the paper.