Lyapunov Functions and Stability Analysis of Fractional-Order Systems
Dynamical Systems
2022-04-21 v1 Populations and Evolution
Abstract
This study presents new estimates for fractional derivatives without singular kernels defined by some specific functions. Based on obtained inequalities, we give a useful method to establish the global stability of steady states for fractional-order systems and generalize some works existing in the literature. Finally, we apply our results to prove the global stability of a fractional-order SEIR model with a general incidence rate.
Keywords
Cite
@article{arxiv.2202.00603,
title = {Lyapunov Functions and Stability Analysis of Fractional-Order Systems},
author = {Adnane Boukhouima and Houssine Zine and El Mehdi Lotfi and Marouane Mahrouf and Delfim F. M. Torres and Noura Yousfi},
journal= {arXiv preprint arXiv:2202.00603},
year = {2022}
}
Comments
This is a preprint whose final form is published by Elsevier in the book 'Mathematical Analysis of Infectious Diseases', 1st Edition - June 1, 2022. ISBN: 9780323905046