@article{Kaewbanjak2022, 
author = {Narongrit Kaewbanjak and Watcharin Chartbupapan and Kamsing Nonlaopon and Kanit Mukdasai},
title = {The Lyapunov-Razumikhin theorem for the conformable fractional system with delay},
year = {2022},
journal = {AIMS Mathematics},
volume = {7},
number = {3},
pages = {4795-4802},
keywords = {Lyapunov-Razumikhin technique, conformable fractional delayed system, linear matrix inequality, uniform asymptotic stability},
url = {https://www.sciopen.com/article/10.3934/math.2022267},
doi = {10.3934/math.2022267},
abstract = {This paper explicates the Razumikhin-type uniform stability and a uniform asymptotic stability theorem for the conformable fractional system with delay. Based on a Razumikhin-Lyapunov functional and some inequalities, a delay-dependent asymptotic stability criterion is in the term of a linear matrix inequality (LMI) for the conformable fractional linear system with delay. Moreover, an application of our theorem is illustrated via a numerical example.}
}