### Well-posedness and exponential stability for a piezoelectric beams system with magnetic and thermal effects in the presence of past history

JPRM-Vol. 19 (2023), Issue 2, pp. 116 – 134 Open Access Full-Text PDF

**Hassan Messaoudi, Houssem Eddine Khochemane, Abdelouaheb Ardjouni, Salah Zitouni**

**Abstract:**In this article, we consider the one-dimensional system of piezoelectric beams with thermal and magnetic effects in the presence of an infinite memory term acting on the mechanical equation. Under appropriate assumptions on the kernel, we prove that the system is well-posed in the sense of semigroup and by constructing a suitable Lyapunov functional. We establish that the system is exponentially stable. Moreover,our result does not depend on any relationship between system parameters.