Exponential decay and global existence of solutions of a singular nonlocal viscoelastic system with distributed delay and damping terms

We investigate in this work a singular one-dimensional viscoelastic system with nonlinear source term, distributed delay, nonlocal boundary condition, and damping terms. By the theory of potentialwell, existence global solution is established, by energy method functional Lyapunov, we prove exponential decay result. This an extension Boulaaras? ([3] [27]).