On the decay of MGT-Viscoelastic plate with heat conduction of Cattaneo type in bounded and unbounded domains

In this paper, we consider a viscoelastic plate equation of Moore-Gibson-Thompson with heat conduction Cattaneo type. We investigate the system in bounded and unbounded domains, seeking exponential stability domains polynomial decay rates for Cauchy problem. It turns out that our is exponentially stable domain, while has regularity loss Our results are proved sub-critical case $ K>0.