Analysis of Fractional Input Stability and Global Asymptotic Stability of Systems of Fractional Differential Equations.

Ubong D. Akpan

doi:10.52589/AJMSS-MA17RROW

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Analysis of Fractional Input Stability and Global Asymptotic Stability of Systems of Fractional Differential Equations.

Publication Date: 2025-08-24

DOI: 10.52589/AJMSS-MA17RROW

Volume/Issue: Volume 8, Issue 3 (2025)

Page No: 204 - 212

Journal: African Journal of Mathematics and Statistics Studies

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Abstract:

Fractional input stability and global asymptotic stability of systems of fractional differential equations have been studied in the sense of Caputo. Systems of fractional differential equations have been studied using Lyapunov method and other known stability notions. Two stability theorems have been stated and proved. Examples are given to demonstrate the utilization of the theorems.

Keywords:Fractional Input StabilityGlobal Asymptotic StabilityFractional Differential EquationsCaputo derivative.

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Copyrights

Authors retain copyright in their articles and have unrestricted rights to reuse, republish, archive, share, and distribute their work after publication.
All articles are published open access under the Creative Commons Attribution 4.0 International (CC BY 4.0) licence, which permits use, sharing, adaptation, distribution, and reproduction in any medium or format, including for commercial purposes, provided appropriate credit is given to the original author(s) and source.