@article{Al-Homidan2023, 
author = {Banan Al-Homidan and Nasser-eddine Tatar},
title = {Fractional Timoshenko beam with a viscoelastically damped rotational component},
year = {2023},
journal = {AIMS Mathematics},
volume = {8},
number = {10},
pages = {24632-24662},
keywords = {Caputo fractional derivative, Riemann-Liouville fractional derivative, Mittag-Leffler stability, Lyapunov stability, multiplier technique},
url = {https://www.sciopen.com/article/10.3934/math.20231256},
doi = {10.3934/math.20231256},
abstract = {This paper is concerned with a fractional Timoshenko system of order between one and two. We address the question of well-posedness in an appropriate space when the rotational component is viscoelastic or subject to a viscoelastic controller. To this end we use the notion of alpha-resolvent. Moreover, we prove that the memory term alone may stabilize the system in a Mittag-Leffler fashion. The system is Lyapunov stable or uniformly stable in the case of different speeds of propagation.}
}