Khalida Aissani, Mouffak Benchohra
Abstract:
In this article, we apply Bohnenblust-Karlin's fixed point theorem to
prove the existence of mild solutions for a class of impulsive
fractional equations inclusions with infinite delay. An example is
given to illustrate the theory.
Submitted September 10, 2013. Published November 30, 2013.
Math Subject Classifications: 26A33, 34A08, 34A37, 34A60, 34G20, 34H05, 34K09.
Key Words: Impulsive fractional differential inclusions;
alpha-resolvent family; Caputo fractional derivative;
mild solution; multivalued map; fixed point; Banach space.
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Khalida Aissani Laboratory of Mathematics University of Sidi Bel-Abbés, PO Box 89 22000, Sidi Bel-Abbés, Algeria email: aissani_k@yahoo.fr | |
Mouffak Benchohra Laboratory of Mathematics University of Sidi Bel-Abbés, PO Box 89 22000, Sidi Bel-Abbés, Algeria email: benchohra@univ-sba.dz |
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