Existence Uniqueness and decay of solutions to a viscoelastic fourth-order problem

Abstract

In this memory, the main problem is a plate problem governed by a viscoelastic term. this work is divided into two cases: The first part, a plate problem, we can mention the problems of vibration waves propagated in an elastic medium, we have studied wave modeling, and existence the uniqueness . The second part is studying the wave equation with a viscoelastic term. We can study in this case we also study the existence of the problem, and the stability and decay rate of the solution