General decay of solutions of a thermoelastic Bresse system with viscoelastic boundary conditions

In this paper we consider a multidimensional thermoviscoelastic system of Bresse type where the heat conduction is given by Green and Naghdi theories. For wider class relaxation functions, We show that dissipation produced memory eect strong enough to produce general decay results. establish results, from which usual exponential polynomial rates are only special cases.