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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Format: | Article |
Language: | English |
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Wiley
2022-01-01
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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. |
format | Article |
id | doaj-art-9b97c4f28f4f40a789ddd3575aeb05e4 |
institution | Kabale University |
issn | 2314-8888 |
language | English |
publishDate | 2022-01-01 |
publisher | Wiley |
record_format | Article |
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 |
work_keys_str_mv | AT abdellatifbenmakhlouf finitetimestabilityof2dfractionalhyperbolicsystemwithtimedelay AT hassenarfaoui finitetimestabilityof2dfractionalhyperbolicsystemwithtimedelay AT salahboulaaras finitetimestabilityof2dfractionalhyperbolicsystemwithtimedelay AT slimdhahri finitetimestabilityof2dfractionalhyperbolicsystemwithtimedelay |