On a class of piecewise continuous Lyapunov functions and eventual stability for nonlinear impulsive Caputo fractional differential equations via new generalized Dini derivative

Authors

  • J.E. Ante Department of Mathematics, Topfaith University, Mkpatak
  • S.O. Essang Department of Mathematics, Arthur Jarvis University, Akpabuyo, Nigeria
  • J.U. Atsu Department of Mathematics, University of Cross River State, Calabar, Nigeria.
  • E.O. Ekpenyong Department of Mathematics, University of Calabar, Calabar, Nigeria.
  • R. D. Effiong University of Calabar, Calabar, Nigeria.

Keywords:

eventual stability, Caputo derivative;, impulsive fractional differential equations, vector Lyapunov functions

Abstract

In this paper, the eventual stability for 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 the comparison results, sufficient conditions for the eventual stability of impulsive Caputo fractional differential equations are presented. Results obtained are extension and improvements on the existing results.

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Published

2025-01-08

How to Cite

Ante, J. ., Essang, S. ., Atsu, J. ., Ekpenyong, E. ., & Effiong, R. D. . (2025). On a class of piecewise continuous Lyapunov functions and eventual stability for nonlinear impulsive Caputo fractional differential equations via new generalized Dini derivative. International Journal of Mathematical Analysis and Modelling, 7(2). Retrieved from https://tnsmb.org/journal/index.php/ijmam/article/view/183

Issue

Vol. 7 No. 2 (2024): Volume 7, Issue 2, 2024

Section

Articles