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This paper is concerned with the following partially dissipative viscoelastic Timoshenko systemwith damping mechanism acting only on the shear force, and with Dirichlet boundary conditions. We consider a very general relaxation functionUnder appropriate conditions on  ξ  and  H , we establish a general stability result. The result is obtained under the assumption of equal speed of wave propagation. This work extends and generalizes many results in literature such as Alves et al. [On modeling and uniform stability of a partially dissipative viscoelastic Timoshenko system. SIAM J Math Anal. 2019;51(6):4520–4543].

New stability result of a partially dissipative viscoelastic Timoshenko system with a wide class of relaxation function