Boundary Value Problems
Volume 2009 (2009), Article ID 628916, 11 pages
doi:10.1155/2009/628916
Research Article

An Existence Result for Nonlinear Fractional Differential Equations on Banach Spaces

Mouffak Benchohra,1 Alberto Cabada,2 and Djamila Seba3

1Laboratoire de Mathématiques, Université de Sidi Bel-Abbès, BP 89, 22000 Sidi Bel-Abbès, Algeria
2Departamento de Analisis Matematico, Facultad de Matematicas, Universidad de Santiago de Compostela, 15782, Santiago de Compostela, Spain
3Département de Mathématiques, Université de Boumerdès, Avenue de l'Indépendance, 35000 Boumerdès, Algeria

Received 30 January 2009; Revised 23 March 2009; Accepted 15 May 2009

Academic Editor: Juan J. Nieto

Copyright © 2009 Mouffak Benchohra 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

The aim of this paper is to investigate a class of boundary value problem for fractional differential equations involving nonlinear integral conditions. The main tool used in our considerations is the technique associated with measures of noncompactness.