Finite-Time Stability of Solutions for Nonlinear q-Fractional Difference Coupled Delay Systems

In this paper, we investigate and prove a new discrete q-fractional version of the coupled Gronwall inequality. By applying this result, the finite-time stability criteria of solutions for a class of nonlinear q-fractional difference coupled delay systems are obtained. As an application, an example...

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Main Authors: Jingfeng Wang, Chuanzhi Bai
Format: Article
Language:English
Published: Wiley 2021-01-01
Series:Discrete Dynamics in Nature and Society
Online Access:http://dx.doi.org/10.1155/2021/3987479
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author Jingfeng Wang
Chuanzhi Bai
author_facet Jingfeng Wang
Chuanzhi Bai
author_sort Jingfeng Wang
collection DOAJ
description In this paper, we investigate and prove a new discrete q-fractional version of the coupled Gronwall inequality. By applying this result, the finite-time stability criteria of solutions for a class of nonlinear q-fractional difference coupled delay systems are obtained. As an application, an example is provided to demonstrate the effectiveness of our result.
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institution Kabale University
issn 1607-887X
language English
publishDate 2021-01-01
publisher Wiley
record_format Article
series Discrete Dynamics in Nature and Society
spelling doaj-art-0ef8c9aa43aa40e08089e9fd14b53cb92025-02-03T00:59:39ZengWileyDiscrete Dynamics in Nature and Society1607-887X2021-01-01202110.1155/2021/3987479Finite-Time Stability of Solutions for Nonlinear q-Fractional Difference Coupled Delay SystemsJingfeng Wang0Chuanzhi Bai1Department of MathematicsDepartment of MathematicsIn this paper, we investigate and prove a new discrete q-fractional version of the coupled Gronwall inequality. By applying this result, the finite-time stability criteria of solutions for a class of nonlinear q-fractional difference coupled delay systems are obtained. As an application, an example is provided to demonstrate the effectiveness of our result.http://dx.doi.org/10.1155/2021/3987479
spellingShingle Jingfeng Wang
Chuanzhi Bai
Finite-Time Stability of Solutions for Nonlinear q-Fractional Difference Coupled Delay Systems
Discrete Dynamics in Nature and Society
title Finite-Time Stability of Solutions for Nonlinear q-Fractional Difference Coupled Delay Systems
title_full Finite-Time Stability of Solutions for Nonlinear q-Fractional Difference Coupled Delay Systems
title_fullStr Finite-Time Stability of Solutions for Nonlinear q-Fractional Difference Coupled Delay Systems
title_full_unstemmed Finite-Time Stability of Solutions for Nonlinear q-Fractional Difference Coupled Delay Systems
title_short Finite-Time Stability of Solutions for Nonlinear q-Fractional Difference Coupled Delay Systems
title_sort finite time stability of solutions for nonlinear q fractional difference coupled delay systems
url http://dx.doi.org/10.1155/2021/3987479
work_keys_str_mv AT jingfengwang finitetimestabilityofsolutionsfornonlinearqfractionaldifferencecoupleddelaysystems
AT chuanzhibai finitetimestabilityofsolutionsfornonlinearqfractionaldifferencecoupleddelaysystems