Stability of pizoelectric beam with magnetic effect under (Coleman or Pipkin)-Gurtin thermal law

In this paper, we investigate the stabilization of a system of piezoelectric beams under (Coleman or Pipkin )-Gurtin thermal law with magnetic effect. First, we study the Piezoelectric-Coleman-Gurtin system and we obtain an exponential stability result. Next, we consider the Piezoelectric-Gurtin-Pipkin system and we establish a polynomial energy decay rate of type $t^{-1}$
Comment: arXiv admin note: substantial text overlap with arXiv:2102.07538 by other authors