Electron. J. Diff. Equ., Vol. 2013 (2013), No. 265, pp. 1-13.

Impulsive fractional differential inclusions with infinite delay

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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