On the existence and stability of fuzzy CF variable fractional differential equation for COVID-19 epidemic

In this paper, we convert the recent COVID-19 model with the use of the most influential theories, such as variable fractional calculus and fuzzy theory. We propose the fuzzy variable fractional differential equation for the COVID-19 model in which the variable fractional-order derivative is describ...

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Detalles Bibliográficos
Autores principales: Verma, Pratibha, Kumar, Manoj
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer London 2021
Materias:
Original Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7870457/
https://www.ncbi.nlm.nih.gov/pubmed/33583985
http://dx.doi.org/10.1007/s00366-021-01296-9
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author Verma, Pratibha
Kumar, Manoj
author_facet Verma, Pratibha
Kumar, Manoj
author_sort Verma, Pratibha
collection PubMed
description In this paper, we convert the recent COVID-19 model with the use of the most influential theories, such as variable fractional calculus and fuzzy theory. We propose the fuzzy variable fractional differential equation for the COVID-19 model in which the variable fractional-order derivative is described using the Caputo-Fabrizio in the Caputo sense. Furthermore, we provide the results on the existence and uniqueness using Lipschitz conditions. Also, discuss the stability analysis of the present new COVID-19 model by employing Hyers-Ulam stability.
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spelling pubmed-78704572021-02-09 On the existence and stability of fuzzy CF variable fractional differential equation for COVID-19 epidemic Verma, Pratibha Kumar, Manoj Eng Comput Original Article In this paper, we convert the recent COVID-19 model with the use of the most influential theories, such as variable fractional calculus and fuzzy theory. We propose the fuzzy variable fractional differential equation for the COVID-19 model in which the variable fractional-order derivative is described using the Caputo-Fabrizio in the Caputo sense. Furthermore, we provide the results on the existence and uniqueness using Lipschitz conditions. Also, discuss the stability analysis of the present new COVID-19 model by employing Hyers-Ulam stability. Springer London 2021-02-09 2022 /pmc/articles/PMC7870457/ /pubmed/33583985 http://dx.doi.org/10.1007/s00366-021-01296-9 Text en © The Author(s), under exclusive licence to Springer-Verlag London Ltd. part of Springer Nature 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 Article
Verma, Pratibha
Kumar, Manoj
On the existence and stability of fuzzy CF variable fractional differential equation for COVID-19 epidemic
title On the existence and stability of fuzzy CF variable fractional differential equation for COVID-19 epidemic
title_full On the existence and stability of fuzzy CF variable fractional differential equation for COVID-19 epidemic
title_fullStr On the existence and stability of fuzzy CF variable fractional differential equation for COVID-19 epidemic
title_full_unstemmed On the existence and stability of fuzzy CF variable fractional differential equation for COVID-19 epidemic
title_short On the existence and stability of fuzzy CF variable fractional differential equation for COVID-19 epidemic
title_sort on the existence and stability of fuzzy cf variable fractional differential equation for covid-19 epidemic
topic Original Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7870457/
https://www.ncbi.nlm.nih.gov/pubmed/33583985
http://dx.doi.org/10.1007/s00366-021-01296-9
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