Finite Time Stability of 2D Fractional Hyperbolic System with Time Delay

In this work, a class of two-dimensional fractional hyperbolic differential linear system (2D-FHDLS) with time delay is investigated. By using generalized Gronwall’s inequality, sufficient conditions for the finite time stability (FTS) of two-dimensional fractional hyperbolic differential system wit...

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Main Authors: Abdellatif Ben Makhlouf, Hassen Arfaoui, Salah Boulaaras, Slim Dhahri
Format: Article
Language:English
Published: Wiley 2022-01-01
Series:Journal of Function Spaces
Online Access:http://dx.doi.org/10.1155/2022/6125463
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author Abdellatif Ben Makhlouf
Hassen Arfaoui
Salah Boulaaras
Slim Dhahri
author_facet Abdellatif Ben Makhlouf
Hassen Arfaoui
Salah Boulaaras
Slim Dhahri
author_sort Abdellatif Ben Makhlouf
collection DOAJ
description In this work, a class of two-dimensional fractional hyperbolic differential linear system (2D-FHDLS) with time delay is investigated. By using generalized Gronwall’s inequality, sufficient conditions for the finite time stability (FTS) of two-dimensional fractional hyperbolic differential system with time delay are given. Numerical examples are also given to illustrate the stability result.
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institution Kabale University
issn 2314-8888
language English
publishDate 2022-01-01
publisher Wiley
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series Journal of Function Spaces
spelling doaj-art-9b97c4f28f4f40a789ddd3575aeb05e42025-02-03T05:53:38ZengWileyJournal of Function Spaces2314-88882022-01-01202210.1155/2022/6125463Finite Time Stability of 2D Fractional Hyperbolic System with Time DelayAbdellatif Ben Makhlouf0Hassen Arfaoui1Salah Boulaaras2Slim Dhahri3Mathematics DepartmentMathematics DepartmentDepartment of MathematicsDepartment of Computer Engineering and NetworksIn this work, a class of two-dimensional fractional hyperbolic differential linear system (2D-FHDLS) with time delay is investigated. By using generalized Gronwall’s inequality, sufficient conditions for the finite time stability (FTS) of two-dimensional fractional hyperbolic differential system with time delay are given. Numerical examples are also given to illustrate the stability result.http://dx.doi.org/10.1155/2022/6125463
spellingShingle Abdellatif Ben Makhlouf
Hassen Arfaoui
Salah Boulaaras
Slim Dhahri
Finite Time Stability of 2D Fractional Hyperbolic System with Time Delay
Journal of Function Spaces
title Finite Time Stability of 2D Fractional Hyperbolic System with Time Delay
title_full Finite Time Stability of 2D Fractional Hyperbolic System with Time Delay
title_fullStr Finite Time Stability of 2D Fractional Hyperbolic System with Time Delay
title_full_unstemmed Finite Time Stability of 2D Fractional Hyperbolic System with Time Delay
title_short Finite Time Stability of 2D Fractional Hyperbolic System with Time Delay
title_sort finite time stability of 2d fractional hyperbolic system with time delay
url http://dx.doi.org/10.1155/2022/6125463
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AT slimdhahri finitetimestabilityof2dfractionalhyperbolicsystemwithtimedelay