Open Access Research Article

An Existence Result for Nonlinear Fractional Differential Equations on Banach Spaces

Mouffak Benchohra1*, Alberto Cabada2 and Djamila Seba3

Author Affiliations

1 Laboratoire de Mathématiques, Université de Sidi Bel-Abbès, BP 89, 22000 Sidi Bel-Abbès, Algeria

2 Departamento de Analisis Matematico, Facultad de Matematicas, Universidad de Santiago de Compostela,15782, Santiago de Compostela, Spain

3 Département de Mathématiques, Université de Boumerdès, Avenue de l'Indépendance, 35000 Boumerdès, Algeria

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Boundary Value Problems 2009, 2009:628916  doi:10.1155/2009/628916

Published: 22 June 2009

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.