Electronic Journal of Differential Equations, Vol. 2012 (2012), No. 65, pp. 1-8. Title: Integral equations of fractional order with multiple time delays in Banach spaces Authors: Mouffak Benchohra (Univ. de Sidi Bel-Abbes, Algerie) Djamila Seba (Univ. Boumerdes, Algerie) Abstract: In this article, we give sufficient conditions for the existence of solutions for an integral equation of fractional order with multiple time delays in Banach spaces. Our main tool is a fixed point theorem of Monch type associated with measures of noncompactness. Our results are illustrated by an example. Submitted March 7, 2012. Published April 27, 2012. Math Subject Classifications: 26A33, 45N05. Key Words: Integral equation; left sided mixed Riemann Liouville integral; measure of noncompactness; fixed point; Banach space.