@ARTICLE{Aounallah_Radhouane_Asymptotic_2024, author={Aounallah, Radhouane and Choucha, Adbelbaki and Boulaaras, Salah and Zarai, Abderrahmane}, volume={vol. 34}, number={No 2}, journal={Archives of Control Sciences}, pages={379–413}, howpublished={online}, year={2024}, publisher={Committee of Automatic Control and Robotics PAS}, abstract={We consider the viscoelastic wave equation with a time delay term in internal fractional feedback. By employing the energy method along with the Faedo-Galerkin procedure, we establish the global existence of solutions, subject to certain conditions. Additionally, we demonstrate how appropriate Lyapunov functionals can lead to general decay results of the energy.}, type={Article}, title={Asymptotic behavior of a viscoelastic wave equation with a delay in internal fractional feedback}, URL={http://czasopisma.pan.pl/Content/131943/art-6.pdf}, doi={10.24425/acs.2024.149665}, keywords={global existence, general decay, relaxation function, delay fractional feedback, partial differential equations}, }