Electronic Journal of Differential Equations, Vol. 2011 (2011), No. 117, pp. 1-12. Title: S-asymptotically periodic solutions for partial differential equations with finite delay Authors: William Dimbour (Univ. des Antilles et de la Guyane, Guadeloupe) Gisele Mophou (Univ. des Antilles et de la Guyane, Guadeloupe) Gaston M. N'Guerekata (Morgan State Univ., Baltimore, MD, USA) Abstract: In this article, we give some sufficient conditions for the existence and uniqueness of S-asymptotically periodic (mild) solutions for some partial functional differential equations. To illustrate our main result, we study a diffusion equation with delay. Submitted August 11, 2011. Published September 14, 2011. Math Subject Classifications: 34K05, 34A12, 34A40. Key Words: S-asymptotically periodic function; mild solution; exponentially stable semigroup; fractional power operator.