On the stability of a laminated beam with structural damping and Gurt–Pipkin thermal law

In this paper, we investigate the stabilization of a one-dimensional thermoelastic laminated beam with structural damping coupled heat equation modeling an expectedly dissipative effect through conduction governed by Gurtin–Pipkin thermal law. Under some assumptions on relaxation function g, establish well-posedness problem using Lumer–Phillips theorem. Furthermore, prove exponential stability and lack depending number perturbed energy method Gearhart–Herbst–Prüss–Huang theorem, respectively.