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 does not depend on any relationship between the coefficients of the system. The result of this paper improves some results in the literature.
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