On a non local non-homogeneous fractional Timoshenko system with frictional and viscoelastic damping terms

Abstract

We are devoted to the study of a nonhomogeneous time-fractional Timoshenko system with frictional and viscoelastic damping terms. We are concerned with the well-posedness of the given problem. The approach relies on some functional-analysis tools, operator theory, a prori estimates, and density arguments.