Exponential stability of a Timoshenko type thermoelastic system with Gurtin-Pipkin thermal law and frictional damping

In this paper we consider a linear thermoelastic system of Timoshenko type where the heat conduction is given by linearized law Gurtin-Pipkin. An existence and uniqueness result proved use semigroup approach. We establish an exponential stability without any assumption on wave speeds once here have fully damped system.