Lyapunov Functions and Stability Analysis of Fractional-Order Systems
arXiv:2202.00603 · doi:10.1016/B978-0-32-390504-6.00013-9
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.
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