Tikialine, BelgacemTEDJANI, HADJ AMMARKelleche, Abdelkarim2022-04-272022-04-272019-04-23Tikialine, Belgacem,. TEDJANI.,HADJ AMMAR. Kelleche, Abdelkarim. Exponential decay for a nonlinear axially moving viscoelastic string. 3rd International Conference in Operator Theory, PDE and Applications. April 23-24- 2019. Faculty of Exact Science. Mathematics Department. University of ElOued. [visited in ../../….]. available from [copy the link here]https://dspace.univ-eloued.dz/handle/123456789/11030Working paper.3rd International Conference in Operator Theory, PDE and Applications. April 23-24- 2019. Faculty of Exact Science. Mathematics Department. University of ElOuedThe stabilization of a nonlinear axially moving viscoelastic string is the topic of this paper. Next, we are showing Under reasonable conditions on the initial results, by using the prospective well process, certain solutions exist globally. We then demonstrate that the damping provided by the viscoelastic term is sufficient to ensure an exponential decayenmoving string,Arbitrary decay ,multiplier method, Asymptotic behavior, Stability. StabilityWorking Paper