Finite-time stability of q-fractional damped difference systems with time delay

Finite-time stability of q-fractional damped difference systems with time delay

In this paper, we investigate and obtain a new discrete q-fractional version of the Gronwall inequality. As applications, we consider the existence and uniqueness of the solution of q-fractional damped difference systems with time delay. Moreover, we formulate the novel sufficient conditions such th...

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Main Authors: Jingfeng Wang, Chuanzhi Bai
Format: Article
Language:English
Published: AIMS Press 2021-08-01
Series:AIMS Mathematics
Subjects:
q-fractional difference system
q-fractional gronwall inequality
delay
finite-time stability
Online Access:https://www.aimspress.com/article/doi/10.3934/math.2021696?viewType=HTML
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spelling doaj-f3993a76cc4f44aeaeb6bab6a40e631e2021-08-31T01:30:19ZengAIMS PressAIMS Mathematics2473-69882021-08-01611120111202710.3934/math.2021696Finite-time stability of q-fractional damped difference systems with time delayJingfeng Wang0Chuanzhi Bai1Department of Mathematics, Huaiyin Normal University, Huaian, Jiangsu 223300, ChinaDepartment of Mathematics, Huaiyin Normal University, Huaian, Jiangsu 223300, ChinaIn this paper, we investigate and obtain a new discrete q-fractional version of the Gronwall inequality. As applications, we consider the existence and uniqueness of the solution of q-fractional damped difference systems with time delay. Moreover, we formulate the novel sufficient conditions such that the q-fractional damped difference delayed systems is finite time stable. Our result extend the main results of the paper by Abdeljawad et al. [A generalized q-fractional Gronwall inequality and its applications to nonlinear delay q-fractional difference systems, J.Inequal. Appl. 2016,240].https://www.aimspress.com/article/doi/10.3934/math.2021696?viewType=HTMLq-fractional difference systemq-fractional gronwall inequalitydelayfinite-time stability
collection DOAJ
language English
format Article
sources DOAJ
author Jingfeng Wang
Chuanzhi Bai
spellingShingle Jingfeng Wang
Chuanzhi Bai
Finite-time stability of q-fractional damped difference systems with time delay
AIMS Mathematics
q-fractional difference system
q-fractional gronwall inequality
delay
finite-time stability
author_facet Jingfeng Wang
Chuanzhi Bai
author_sort Jingfeng Wang
title Finite-time stability of q-fractional damped difference systems with time delay
title_short Finite-time stability of q-fractional damped difference systems with time delay
title_full Finite-time stability of q-fractional damped difference systems with time delay
title_fullStr Finite-time stability of q-fractional damped difference systems with time delay
title_full_unstemmed Finite-time stability of q-fractional damped difference systems with time delay
title_sort finite-time stability of q-fractional damped difference systems with time delay
publisher AIMS Press
series AIMS Mathematics
issn 2473-6988
publishDate 2021-08-01
description In this paper, we investigate and obtain a new discrete q-fractional version of the Gronwall inequality. As applications, we consider the existence and uniqueness of the solution of q-fractional damped difference systems with time delay. Moreover, we formulate the novel sufficient conditions such that the q-fractional damped difference delayed systems is finite time stable. Our result extend the main results of the paper by Abdeljawad et al. [A generalized q-fractional Gronwall inequality and its applications to nonlinear delay q-fractional difference systems, J.Inequal. Appl. 2016,240].
topic q-fractional difference system
q-fractional gronwall inequality
delay
finite-time stability
url https://www.aimspress.com/article/doi/10.3934/math.2021696?viewType=HTML
work_keys_str_mv AT jingfengwang finitetimestabilityofqfractionaldampeddifferencesystemswithtimedelay
AT chuanzhibai finitetimestabilityofqfractionaldampeddifferencesystemswithtimedelay
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