Some results for a class of two-dimensional fractional hyperbolic differential systems with time delay

This work deals with the existence and uniqueness of global solution and finite time stability of fractional partial hyperbolic differential systems (FPHDSs). Using the fixed-point approach, the existence and uniqueness of global solution is studied and an estimation of solution is given. Moreover,...

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Detalles Bibliográficos
Autores principales: Arfaoui, Hassen, Ben Makhlouf, Abdellatif
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer Berlin Heidelberg 2021
Materias:
Original Research
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8423604/
https://www.ncbi.nlm.nih.gov/pubmed/34512222
http://dx.doi.org/10.1007/s12190-021-01625-7
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author Arfaoui, Hassen
Ben Makhlouf, Abdellatif
author_facet Arfaoui, Hassen
Ben Makhlouf, Abdellatif
author_sort Arfaoui, Hassen
collection PubMed
description This work deals with the existence and uniqueness of global solution and finite time stability of fractional partial hyperbolic differential systems (FPHDSs). Using the fixed-point approach, the existence and uniqueness of global solution is studied and an estimation of solution is given. Moreover, some sufficient conditions for the finite time stability of FPHDSs are established. Numerical experiments illustrate the Stability result.
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spelling pubmed-84236042021-09-08 Some results for a class of two-dimensional fractional hyperbolic differential systems with time delay Arfaoui, Hassen Ben Makhlouf, Abdellatif J Appl Math Comput Original Research This work deals with the existence and uniqueness of global solution and finite time stability of fractional partial hyperbolic differential systems (FPHDSs). Using the fixed-point approach, the existence and uniqueness of global solution is studied and an estimation of solution is given. Moreover, some sufficient conditions for the finite time stability of FPHDSs are established. Numerical experiments illustrate the Stability result. Springer Berlin Heidelberg 2021-09-08 2022 /pmc/articles/PMC8423604/ /pubmed/34512222 http://dx.doi.org/10.1007/s12190-021-01625-7 Text en © Korean Society for Informatics and Computational Applied Mathematics 2021 This article is made available via the PMC Open Access Subset for unrestricted research re-use and secondary analysis in any form or by any means with acknowledgement of the original source. These permissions are granted for the duration of the World Health Organization (WHO) declaration of COVID-19 as a global pandemic.
spellingShingle Original Research
Arfaoui, Hassen
Ben Makhlouf, Abdellatif
Some results for a class of two-dimensional fractional hyperbolic differential systems with time delay
title Some results for a class of two-dimensional fractional hyperbolic differential systems with time delay
title_full Some results for a class of two-dimensional fractional hyperbolic differential systems with time delay
title_fullStr Some results for a class of two-dimensional fractional hyperbolic differential systems with time delay
title_full_unstemmed Some results for a class of two-dimensional fractional hyperbolic differential systems with time delay
title_short Some results for a class of two-dimensional fractional hyperbolic differential systems with time delay
title_sort some results for a class of two-dimensional fractional hyperbolic differential systems with time delay
topic Original Research
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8423604/
https://www.ncbi.nlm.nih.gov/pubmed/34512222
http://dx.doi.org/10.1007/s12190-021-01625-7
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