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

Publication Date: 25/08/2025

DOI: 10.52589/AJMSS-MA17RROW


Author(s): Ubong D. Akpan.
Volume/Issue: Volume 8, Issue 3 (2025)
Page No: 204-212
Journal: African Journal of Mathematics and Statistics Studies (AJMSS)


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 Stability, Global Asymptotic Stability, Fractional Differential Equations, Caputo derivative.

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