On the Novel Finite‐Time Stability Results for Uncertain Fractional Delay Differential Equations Involving Noninstantaneous Impulses

Abstract

In this paper, we mainly study the finite-time stability for a kind of uncertain fractional-order delay differential equations with noninstantaneous impulses. By using the Lyapunov functions along with the generalized Grönwall inequality, we present the new stability results for the considered equations. Finally, two examples are given to demonstrate the effectiveness of our theoretical results.

Finite-time stability results for fractional damped dynamical systems with time delays

“…Therefore, FTS concept has been introduced and concentrating on the behaviour of state variables for the duration of momentary time, which must not beyond the definite value, while the initial condition's upper bound is specified [2]. So, the researchers developed the FTS criteria [3,10,22,33] and established several results by using Gronwall inequalities, Holder inequalities and inequality scaling skills [17,32,34].…”