Boundary Value Problems
Volume 2009 (2009), Article ID 628916, 11 pages
doi:10.1155/2009/628916
An existence result for nonlinear fractional differential equations on Banach spaces
Mouffak Benchohra1
, Alberto Cabada2
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
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.