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Abstract and Applied Analysis
Volume 2014, Article ID 120781, 7 pages
Research Article

Existence and Estimates of Positive Solutions for Some Singular Fractional Boundary Value Problems

Department of Mathematics, College of Sciences and Arts, King Abdulaziz University, Rabigh Campus, P.O. Box 344, Rabigh 21911, Saudi Arabia

Received 25 December 2013; Accepted 14 February 2014; Published 1 April 2014

Academic Editor: Samir Saker

Copyright © 2014 Habib Mâagli 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.


We establish the existence and uniqueness of a positive solution for the following fractional boundary value problem , with the conditions , , where , , and is a nonnegative continuous function on that may be singular at or . We also give the global behavior of such a solution.