Öz
The wave equation with fading memory, in bounded domain, has been deeply studied by several authors. Here, we establish a decay results for a class of weak-viscoelastic wave
system in IR^n. We are going to construct an appropriate Lyapunov function associate with our main system by taking the Fourier transform. The main question here is: If the
dissipation given by the weak-viscoelasticity is strong enough to drag a rate of decay for the whole system, what type of rate of decay can we expect?