Electron. J. Diff. Equ., Vol. 2011 (2011), No. 150, pp. 1-14.

Darboux problem for implicit impulsive partial hyperbolic fractional order differential equations

Said Abbas, Mouffak Benchohra

Abstract:
In this article we investigate the existence and uniqueness of solutions for the initial value problems, for a class of hyperbolic impulsive fractional order differential equations by using some fixed point theorems.

Submitted August 19, 2011. Published November 8, 2011.
Math Subject Classifications: 26A33, 34A08.
Key Words: Hyperbolic differential equation; fractional order; Riemann-Liouville integral; mixed regularized derivative; impulse; fixed point.

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Saïd Abbas
Laboratoire de Mathématiques
Université de Saïda, B. P. 138
20000, Saïda, Algérie
email: abbasmsaid@yahoo.fr
Mouffak Benchohra
Laboratoire de Mathématiques
Université de Sidi Bel-Abbès B.P. 89
22000, Sidi Bel-Abbès, Algérie
email: benchohra@univ-sba.dz

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