Ante, Jackson EfiongAtsu, Jeremiah UgehMaharaj, AdhirNarain, Ojen KumarEtimbuk, Emmanuel Abraham2024-12-152024-12-152024-11-01Ante, J.E., Atsu, J.U., Maharaj, A.; Narain, O.K, and Etimbuk, E.A. 2024. On a class of piecewise continuous Lyapunov functions and uniform eventual stability of nonlinear impulsive Caputo fractional differential equations via new generalized dini derivative. Asia Pacific Journal of Mathematics. 11(99): 1-20 (20). doi:10.28924/APJM/11-992357-2205 (Online)https://hdl.handle.net/10321/5706In this paper, the uniform eventual stability of nonlinear impulsive Caputo fractional differential equations with fixed moments of impulse is examined using the vector Lyapunov functions which is generalized by a class of piecewise continuous Lyapunov functions. Together with comparison results, sufficient conditions for the uniform eventual stability of impulsive Caputo fractional differential equations are presented. An illustrative example is given to confirm the suitability of the obtained results.20 penUniform eventual stabilityCaputo derivativeImpulsive fractional differential equationsLyapunov functionsOn a class of piecewise continuous Lyapunov functions and uniform eventual stability of nonlinear impulsive Caputo fractional differential equations via new generalized dini derivativeArticle2024-11-0110.28924/APJM/11-99