@article{Issa2024, 
author = {Ibtissam Issa and Zayd Hajjej},
title = {Stabilization for a degenerate wave equation with drift and potential term with boundary fractional derivative control},
year = {2024},
journal = {Electronic Research Archive},
volume = {32},
number = {8},
pages = {4926-4953},
keywords = {degenerate wave equation, singular potentials, drift, boundary stabilization, polynomial decay, fractional derivative, non-divergence form},
url = {https://www.sciopen.com/article/10.3934/era.2024227},
doi = {10.3934/era.2024227},
abstract = {This paper explores the boundary stabilization of a degenerate wave equation in the non-divergence form, which includes a drift term and a singular potential term. Additionally, we introduce boundary fractional derivative damping at the endpoint where divergence is absent. Using semi-group theory and the multiplier method, we establish polynomial stability, with a decay rate depending upon the order of the fractional derivative.}
}