Electronic Journal of Differential Equations, Vol. 2013 (2013), No. 52, pp. 1-16. Title: Boundary stabilization of memory-type thermoelastic systems Author: Muhammad I. Mustafa (King Fahd Univ., Dhahran, Saudi Arabia) Abstract: In this article we consider an n-dimentional thermoelastic system with a viscoelastic damping localized on a part of the boundary. We establish an explicit and general decay rate result that allows a larger class of relaxation functions and generalizes previous results existing in the literature. Submitted October 3, 2012. Published February 18, 2013. Math Subject Classifications: 35B37, 35L55, 74D05, 93D15, 93d20. Key Words: Thermoelasticity; viscoelastic damping; general decay; convexity.