Electron. J. Diff. Eqns., Vol. 2009(2009), No. 10, pp. 1-11.

Existence and uniqueness of solutions to impulsive fractional differential equations

Mouffak Benchohra, Boualem Attou Slimani

Abstract:
In this article, we establish sufficient conditions for the existence of solutions for a class of initial value problem for impulsive fractional differential equations involving the Caputo fractional derivative.

Submitted October 22, 2008. Published January 9, 2009.
Math Subject Classifications: 26A33, 34A37.
Key Words: Fractional derivative; impulses; Initial value problem; Caputo fractional integral; nonlocal conditions; existence; uniqueness; fixed point.

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Mouffak Benchohra
Laboratoire de Mathématiques
Université de Sidi Bel Abbès
BP 89, 2000 Sidi Bel Abbès, Algérie
email: benchohra@univ-sba.dz
Boualem Attou Slimani
Faculté des Sciences de l'Ingénieur
Université de Tlemcen
B.P. 119, 13000, Tlemcen, Algérie
email: ba_slimani@yahoo.fr

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