New general and explicit stability result for a thermoelastic Timoshenko system

The goal of this article is to study a thermoelastic Timoshenko system with viscoelastic law acting on the shear force and thermoelastic dissipation acting on the bending moment. We prove a general decay as well as an explicit decay estimate for solution energy, from which the exponential and polynomial decay results are only special cases. The result is obtained without imposing equal-wave-speed condition, this is achieved by considering the Neumann–Dirichlet–Neumann boundary conditions . This result is therefore of great interest compared to majority of results in the literature that often time impose the equal-wave-speed condition.