A Non-Local Non-Homogeneous Fractional Timoshenko System with Frictional and Viscoelastic Damping Terms

We are devoted to the study of a non-local non-homogeneous time fractional Timoshenko system with frictional and viscoelastic damping terms. concerned well-posedness given problem. The approach relies on some functional analysis tools, operator theory, priori estimates density arguments. This work can be considered as contribution development energy inequality methods, so-called estimate method inspired from analyses used prove mixed problems integral boundary conditions.