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Author(s): Jackson Ante , Okoi Itam , Jeremiah Atsu , Samuel Essang , Etimbuk Abraham , Michael Ineh .

Volume/Issue: Volume 7 , Issue 4 (2024)

Abstract:

In this paper, the uniform asymptotic practical stability of nonlinear impulsive Caputo fractional differential equations with fixed moment of impulse is examined using an auxilliary Lyapunov functions which are analogues of vector Lyapunov functions. Together with comparison results, sufficient conditions for the uniform practical stability as well as the uniform asymptotic practical stability of the impulsive Caputo fractional order systems are established. An illustrative example is given to confirm the suitability of the obtained results.

Keywords:

Uniform asymptotic practical stability, Caputo derivative, impulse, Lyapunov function.

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