@ARTICLE{10.21494/ISTE.OP.2021.0723, TITLE={General Decay Of A Nonlinear Viscoelastic Wave: Equation With Boundary Dissipation}, AUTHOR={Amel Boudiaf, Salah Drabla, }, JOURNAL={Advances in Pure and Applied Mathematics}, VOLUME={12}, NUMBER={Issue 4 (September 2021)}, YEAR={2021}, URL={https://openscience.fr/General-Decay-Of-A-Nonlinear-Viscoelastic-Wave-Equation-With-Boundary}, DOI={10.21494/ISTE.OP.2021.0723}, ISSN={1869-6090}, ABSTRACT={In this work we establish a general decay rate for a nonlinear viscoelastic wave equation with boundary dissipation where the relaxation function satisfies $$$g^{\prime }\left( t\right) \leq -\xi \left( t\right) g^{p} % \left( t\right) , t\geq 0, 1\leq p\leq \frac{3}{2}.$$$ This work generalizes and improves earlier results in the literature.}}