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 |
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Djamila Seba Département de Mathématiques Université de Boumerdès Avenue de l'indépendance 35000 Boumerdès, Algérie email: djam_seba@yahoo.fr |
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