General stability result for a porous thermoelastic system with infinite
history and microtemperatures effect
Abstract
In this paper, we consider a one-dimensional porous thermoelastic system
with microtemperatures effects and past history term acting only on the
porous equation. We show that the system is well-posed in the sens of
semigroup and based on the energy method we establish a general decay
result for the solutions of the system under an appropriate assumptions
on the kernel. Furthermore, our result depends on the stability number
that was first considered in [25]. The result of this paper improves
some results in the literature.