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Jackson Efiong Ante, Samuel Okon Essang, Augustine Otobi, Sunday Emmanuel Fadugba, Christian Solomon Akpan, Stephen Ikenna Okeke, Nko Samuel Bassey, Runyi Emmanuel Francis, Ede Moses Aigberemhon, and Blessed Yahweh, On the new robust Lyapunov uniform stability approach for nonlinear impulsive Caputo fractional differential equations with nonlocal conditions, Eur. J. Math. Appl. 5 (2025), Article ID 18.

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Volume 5 (2025), Article ID 18

https://doi.org/10.28919/ejma.2025.5.18

Published: 24/10/2025

Abstract:

This study investigates the uniform stability of the trivial solution for nonlinear impulsive Caputo fractional differential equations (ICFrDEs), leveraging on the powerful framework of the vector Lyapunov functions. By employing a novel class of piecewise continuous Lyapunov functions – an extension of traditional Lyapunov functions, and integrating comparison results, we derive comprehensive sufficient conditions for the uniform stability of the trivial solution of the system. To illustrate the applicability and advancements of these findings, a detailed example is provided, showcasing improvements over existing results and highlighting the broader potential of this approach.

How to Cite:

Jackson Efiong Ante, Samuel Okon Essang, Augustine Otobi, Sunday Emmanuel Fadugba, Christian Solomon Akpan, Stephen Ikenna Okeke, Nko Samuel Bassey, Runyi Emmanuel Francis, Ede Moses Aigberemhon, and Blessed Yahweh, On the new robust Lyapunov uniform stability approach for nonlinear impulsive Caputo fractional differential equations with nonlocal conditions, Eur. J. Math. Appl. 5 (2025), Article ID 18. https://doi.org/10.28919/ejma.2025.5.18