Electronic Journal of Differential Equations, Vol. 2014 (2014), No. 117, pp. 1-16. Title: Integral inequalities with time delay in two independent variables Authors: Hassene Khellaf (Univ. of Constantine 1, Constantine, Algeria) Mouhamed Smakdji (Univ. of Constantine 1, Constantine, Algeria) Mouhamed Denche (Univ. of Constantine 1, Constantine, Algeria) Abstract: In this article, we generalize some retarded integral inequalities in two independent variables to more general situations. These integral inequalities can be applied as tools to the study of certain class of integral and differential equations with time delay. Submitted August 2, 2013. Published April 22, 2014. Math Subject Classifications: 26D10, 26D15. Key Words: Retarded integral inequality; Gronwall-like type inequality; submultiplicative function; differential equations with time delay.