Longtime dynamics for a novel piezoelectric beam model with creep and thermo-viscoelastic effects

In this work, a novel fully-dynamic piezoelectric beam model is considered. Electromagnetic and thermal effects are taken into consideration by Maxwell’s equations the Coleman–Gurtin law (instead of Fourier’s law), respectively. Our accounts also for electromagnetic (creep) past histories, which in line with time response PVDF at applied stress longitudinal direction. Under suitable assumptions, existence uniqueness solutions proved semigroup theory. The main purpose paper to establish longtime dynamics model. Therefore, quasi-stability property smooth global attractors finite fractal dimension obtained. exponential associated dynamical system proved.