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

Abstract

In 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.