Electronic Journal of Differential Equations, Vol. 2011 (2011), No. 150, pp. 1-14. Title: Darboux problem for implicit impulsive partial hyperbolic fractional order differential equations Authors: Said Abbas (Univ. de Saida, Algerie) Mouffak Benchohra (Univ. de Sidi Bel-Abbes, Algerie) 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 08, 2011. Math Subject Classifications: 26A33, 34A08. Key Words: Hyperbolic differential equation; fractional order; Riemann-Liouville integral; mixed regularized derivative; impulse; fixed point.