Finite-time stability of ABC type fractional delay difference equations

2021 ◽  
Vol 152 ◽  
pp. 111430
Author(s):  
Yuting Chen ◽  
Xiaoyan Li ◽  
Song Liu
Keyword(s):  
Difference Equations ◽  
Finite Time ◽  
Time Stability ◽  
Finite Time Stability ◽  
Fractional Delay ◽  
Delay Difference Equations ◽  
Delay Difference

scholarly journals Uniqueness and Novel Finite-Time Stability of Solutions for a Class of Nonlinear Fractional Delay Difference Systems

2018 ◽  
Vol 2018 ◽  
pp. 1-7 ◽  
Author(s):  
Danfeng Luo ◽  
Zhiguo Luo
Keyword(s):  
Finite Time ◽  
Time Varying ◽  
Stability Of Solutions ◽  
Time Stability ◽  
Finite Time Stability ◽  
Difference Systems ◽  
Fractional Delay ◽  
Delay Difference ◽  
New Criteria ◽  
Theoretical Results

This paper focuses on the uniqueness and novel finite-time stability of solutions for a kind of fractional-order nonlinear difference equations with time-varying delays. Under some new criteria and by applying the generalized Gronwall inequality, the new constructive results have been established in the literature. As an application, two typical examples are delineated to demonstrate the effectiveness of our theoretical results.

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

2019 ◽  
Vol 2019 ◽  
pp. 1-9
Author(s):  
Qien Li ◽  
Danfeng Luo ◽  
Zhiguo Luo ◽  
Quanxin Zhu
Keyword(s):  
Differential Equations ◽  
Finite Time ◽  
Delay Differential Equations ◽  
The Novel ◽  
Time Stability ◽  
Finite Time Stability ◽  
Fractional Delay ◽  
Delay Differential ◽  
Noninstantaneous Impulses ◽  
Stability Results

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.

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