Exponential decay for a porous elastic truncated model with time delay effects

Abstract

In this paper, we consider a truncated version for 1D porous-elasticity equations and established exponential decay results by incorporating damping mechanisms of time delay types acting partially on the system. Our approach is based on contribution by Ramos et al. (Appl Math Lett 101:106061, 2020). We proved that the exponential decay property holds regardless any relationship between coefficients of the system.