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

Författare

  • 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.

Nyckelord:

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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Publicerad

2025-01-08

Referera så här

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). Hämtad från https://tnsmb.org/journal/index.php/ijmam/article/view/183

Nummer

Vol 7 Nr 2 (2024): Volume 7, Issue 2, 2024

Sektion

Articles