Electronic Journal of Differential Equations, Vol. 2013 (2013), No. 31, pp. 1-18. Title: Solutions in several types of periodicity for partial neutral integro-differential equation Authors: Jose Paulo C. dos Santos (Univ. Federal de Alfenas, MG, Brazil) Sandro M. Guzzo (UNIOESTE, Cascavel, PR, Brazil) Abstract: In this article we study the existence of mild solutions in several types of periodicity for partial neutral integro-differential equations with unbounded delays. Submitted August 4, 2012. Published January 28, 2013. Math Subject Classifications: 45K05, 34K40, 34K14, 45N05. Key Words: Integro-differential equations; neutral differential equations; asymptotically almost periodic; asymptotic compact almost automorphic; S-asymptotically omega-periodic; asymptotically omega-periodic.