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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...
Autores principales: | , , , , |
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Formato: | Online Artículo Texto |
Lenguaje: | English |
Publicado: |
Elsevier Ltd.
2021
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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. |
format | Online Article Text |
id | pubmed-8179098 |
institution | National Center for Biotechnology Information |
language | English |
publishDate | 2021 |
publisher | Elsevier Ltd. |
record_format | MEDLINE/PubMed |
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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