On a Singular Non local Fractional System Describing a Generalized Timoshenko System with Two Frictional Damping Terms

This paper concerns a nonhomogeneous singular fractional order system, with two frictional damping terms. system can be considered as generalization of the so-called Timoshenko system. Results on existence, uniqueness, and continuous dependence solution were obtained via an energy approach, which mainly relies priori bounds density arguments. The approach functional analysis tools operator theory. Very few results concerning well-posedness systems found in literature. Our generalize improve previous ones significantly boost development used method.