@article{Aslam2025, 
author = {Muhammad Fahim Aslam and Jianghao Hao and Salah Boulaaras and Luqman Bashir},
title = {Global existence and exponential stability of a fractionally damped plate equation with past history},
year = {2025},
journal = {Electronic Research Archive},
volume = {33},
number = {7},
pages = {4363-4381},
keywords = {plate equation, general decay, fractional derivatives, infinite memory, global existence, nonlinear equations},
url = {https://www.sciopen.com/article/10.3934/era.2025199},
doi = {10.3934/era.2025199},
abstract = {This paper is an extension of our earlier research[1]. In this article, we discussed the fractionally damped plate equation with infinite memory. We proved that solutions are global under different initial and boundary conditions. Subsequently, we investigated the exponential stability of the solutions through Lyapunov functionals in order to establish stability conditions sufficient for stability analysis.}
}