Electron. J. Diff. Equ., Vol. 2012 (2012), No. 65, pp. 1-8.

Integral equations of fractional order with multiple time delays in Banach spaces

Mouffak Benchohra, Djamila Seba

Abstract:
In this article, we give sufficient conditions for the existence of solutions for an integral equation of fractional order with multiple time delays in Banach spaces. Our main tool is a fixed point theorem of Monch type associated with measures of noncompactness. Our results are illustrated by an example.

Submitted March 7, 2012. Published April 27, 2012.
Math Subject Classifications: 26A33, 45N05.
Key Words: Integral equation; left sided mixed Riemann Liouville integral; measure of noncompactness; fixed point; Banach space.

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Mouffak Benchohra
Laboratoire de Mathématiques
Université de Sidi Bel-Abbès
BP 89, 22000 Sidi Bel-Abbès, Algérie
email: benchohra@univ-sba.dz
Djamila Seba
Département de Mathématiques
Université de Boumerdès
Avenue de l'indépendance
35000 Boumerdès, Algérie
email: djam_seba@yahoo.fr

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