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

TL;DR

This paper investigates the mathematical properties of a complex fractional Timoshenko system with damping, establishing well-posedness using advanced functional analysis and operator theory techniques.

Contribution

It introduces a novel analysis of a nonhomogeneous fractional Timoshenko system with damping, focusing on well-posedness using functional analysis methods.

Findings

Proved well-posedness of the fractional Timoshenko system.

Developed a framework using operator theory and a priori estimates.

Extended existing models to include nonhomogeneous and fractional effects.

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.