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Study on the mathematical modelling of COVID-19 with Caputo-Fabrizio operator

In this article we study a fractional-order mathematical model describing the spread of the new coronavirus (COVID-19) under the Caputo-Fabrizio sense. Exploiting the approach of fixed point theory, we compute existence as well as uniqueness of the related solution. To investigate the exact solution...

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Detalles Bibliográficos
Autores principales: Rahman, Mati ur, Ahmad, Saeed, Matoog, R.T., Alshehri, Nawal A., Khan, Tahir
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Elsevier Ltd. 2021
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8179098/
https://www.ncbi.nlm.nih.gov/pubmed/34108819
http://dx.doi.org/10.1016/j.chaos.2021.111121
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author Rahman, Mati ur
Ahmad, Saeed
Matoog, R.T.
Alshehri, Nawal A.
Khan, Tahir
author_facet Rahman, Mati ur
Ahmad, Saeed
Matoog, R.T.
Alshehri, Nawal A.
Khan, Tahir
author_sort Rahman, Mati ur
collection PubMed
description In this article we study a fractional-order mathematical model describing the spread of the new coronavirus (COVID-19) under the Caputo-Fabrizio sense. Exploiting the approach of fixed point theory, we compute existence as well as uniqueness of the related solution. To investigate the exact solution of our model, we use the Laplace Adomian decomposition method (LADM) and obtain results in terms of infinite series. We then present numerical results to illuminate the efficacy of the new derivative. Compared to the classical order derivatives, our obtained results under the new notion show better results concerning the novel coronavirus model.
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spelling pubmed-81790982021-06-05 Study on the mathematical modelling of COVID-19 with Caputo-Fabrizio operator Rahman, Mati ur Ahmad, Saeed Matoog, R.T. Alshehri, Nawal A. Khan, Tahir Chaos Solitons Fractals Article In this article we study a fractional-order mathematical model describing the spread of the new coronavirus (COVID-19) under the Caputo-Fabrizio sense. Exploiting the approach of fixed point theory, we compute existence as well as uniqueness of the related solution. To investigate the exact solution of our model, we use the Laplace Adomian decomposition method (LADM) and obtain results in terms of infinite series. We then present numerical results to illuminate the efficacy of the new derivative. Compared to the classical order derivatives, our obtained results under the new notion show better results concerning the novel coronavirus model. Elsevier Ltd. 2021-09 2021-06-05 /pmc/articles/PMC8179098/ /pubmed/34108819 http://dx.doi.org/10.1016/j.chaos.2021.111121 Text en © 2021 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
Rahman, Mati ur
Ahmad, Saeed
Matoog, R.T.
Alshehri, Nawal A.
Khan, Tahir
Study on the mathematical modelling of COVID-19 with Caputo-Fabrizio operator
title Study on the mathematical modelling of COVID-19 with Caputo-Fabrizio operator
title_full Study on the mathematical modelling of COVID-19 with Caputo-Fabrizio operator
title_fullStr Study on the mathematical modelling of COVID-19 with Caputo-Fabrizio operator
title_full_unstemmed Study on the mathematical modelling of COVID-19 with Caputo-Fabrizio operator
title_short Study on the mathematical modelling of COVID-19 with Caputo-Fabrizio operator
title_sort study on the mathematical modelling of covid-19 with caputo-fabrizio operator
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8179098/
https://www.ncbi.nlm.nih.gov/pubmed/34108819
http://dx.doi.org/10.1016/j.chaos.2021.111121
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