Lyapunov functions and stability analysis of fractional-order systems

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...

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Bibliographic Details
Main Author: Boukhouima, Adnane (author)
Other Authors: Zine, Houssine (author), Lotfi, El Mehdi (author), Mahrouf, Marouane (author), Torres, Delfim F. M. (author), Yousfi, Noura (author)
Format: bookPart
Language:eng
Published: 2022
Subjects:
Nonlinear dynamics
Fractional calculus
Fractional derivatives
Lyapunov functions
Stability analysis
Online Access:http://hdl.handle.net/10773/34440
Country:Portugal
Oai:oai:ria.ua.pt:10773/34440
Description
Summary: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.

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