2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/171061We consider a coupled linear system describing a thermoviscoelastic plate with hereditary effects. The system consists of a hyperbolic integrodifferential equation, governing the temperature, which is linearly coupled with the partial differential equation ruling the evolution of the vertical deflection, presenting a convolution term accounting for memory effects. It is also assumed that the thermal power contains a memory term characterized by a relaxation kernel. We prove that the system is exponentially stable and we obtain a closeness estimate between the system with memory effects and the corresponding memory-free limiting system, as the kernels fade in a suitable sense.26 pagesAnalysis of PDEs35B25, 35B35, 35B40, 45K05, 47D03, 74F05, 74K20text