Analysis of a novel coronavirus (2019-nCOV) system with variable Caputo-Fabrizio fractional order

The main aim of this study is to present a new variable fractional-order derivatives for novel coronavirus (2019-nCOV) system with the variable Caputo-Fabrizio in Caputo sense. By using the fixed point theory, we explore the new existence and uniqueness results of the solution for the proposed 2019-...

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Detalles Bibliográficos
Autores principales: Verma, Pratibha, Kumar, Manoj
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Elsevier Ltd. 2021
Materias:
Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7834749/
https://www.ncbi.nlm.nih.gov/pubmed/33519113
http://dx.doi.org/10.1016/j.chaos.2020.110451
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author Verma, Pratibha
Kumar, Manoj
author_facet Verma, Pratibha
Kumar, Manoj
author_sort Verma, Pratibha
collection PubMed
description The main aim of this study is to present a new variable fractional-order derivatives for novel coronavirus (2019-nCOV) system with the variable Caputo-Fabrizio in Caputo sense. By using the fixed point theory, we explore the new existence and uniqueness results of the solution for the proposed 2019-nCOV system. The existence result is obtained with the aid of the Krasnoselskii fixed point theorem while the uniqueness of the solution has been investigated by utilizing the Banach fixed point theorem. Furthermore, we study the generalized Hyers-Ulam stability as well as the generalized Hyers-Ulam-Rassias stability and also discuss some more interesting results for the proposed system.
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spelling pubmed-78347492021-01-26 Analysis of a novel coronavirus (2019-nCOV) system with variable Caputo-Fabrizio fractional order Verma, Pratibha Kumar, Manoj Chaos Solitons Fractals Article The main aim of this study is to present a new variable fractional-order derivatives for novel coronavirus (2019-nCOV) system with the variable Caputo-Fabrizio in Caputo sense. By using the fixed point theory, we explore the new existence and uniqueness results of the solution for the proposed 2019-nCOV system. The existence result is obtained with the aid of the Krasnoselskii fixed point theorem while the uniqueness of the solution has been investigated by utilizing the Banach fixed point theorem. Furthermore, we study the generalized Hyers-Ulam stability as well as the generalized Hyers-Ulam-Rassias stability and also discuss some more interesting results for the proposed system. Elsevier Ltd. 2021-01 2020-11-10 /pmc/articles/PMC7834749/ /pubmed/33519113 http://dx.doi.org/10.1016/j.chaos.2020.110451 Text en © 2020 Elsevier Ltd. All rights reserved. Since January 2020 Elsevier has created a COVID-19 resource centre with free information in English and Mandarin on the novel coronavirus COVID-19. The COVID-19 resource centre is hosted on Elsevier Connect, the company's public news and information website. Elsevier hereby grants permission to make all its COVID-19-related research that is available on the COVID-19 resource centre - including this research content - immediately available in PubMed Central and other publicly funded repositories, such as the WHO COVID database with rights for unrestricted research re-use and analyses in any form or by any means with acknowledgement of the original source. These permissions are granted for free by Elsevier for as long as the COVID-19 resource centre remains active.
spellingShingle Article
Verma, Pratibha
Kumar, Manoj
Analysis of a novel coronavirus (2019-nCOV) system with variable Caputo-Fabrizio fractional order
title Analysis of a novel coronavirus (2019-nCOV) system with variable Caputo-Fabrizio fractional order
title_full Analysis of a novel coronavirus (2019-nCOV) system with variable Caputo-Fabrizio fractional order
title_fullStr Analysis of a novel coronavirus (2019-nCOV) system with variable Caputo-Fabrizio fractional order
title_full_unstemmed Analysis of a novel coronavirus (2019-nCOV) system with variable Caputo-Fabrizio fractional order
title_short Analysis of a novel coronavirus (2019-nCOV) system with variable Caputo-Fabrizio fractional order
title_sort analysis of a novel coronavirus (2019-ncov) system with variable caputo-fabrizio fractional order
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7834749/
https://www.ncbi.nlm.nih.gov/pubmed/33519113
http://dx.doi.org/10.1016/j.chaos.2020.110451
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