Investigating a nonlinear dynamical model of COVID-19 disease under fuzzy caputo, random and ABC fractional order derivative

This paper is devoted to investigation of the fractional order fuzzy dynamical system, in our case, modeling the recent pandemic due to corona virus (COVID-19). The considered model is analyzed for exactness and uniqueness of solution by using fixed point theory approach. We have also provided the n...

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Detalles Bibliográficos
Autores principales: Rahman, Mati ur, Arfan, Muhammad, Shah, Kamal, Gómez-Aguilar, J.F.
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Elsevier Ltd. 2020
Materias:
Frontiers
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7447236/
https://www.ncbi.nlm.nih.gov/pubmed/32863613
http://dx.doi.org/10.1016/j.chaos.2020.110232
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author Rahman, Mati ur
Arfan, Muhammad
Shah, Kamal
Gómez-Aguilar, J.F.
author_facet Rahman, Mati ur
Arfan, Muhammad
Shah, Kamal
Gómez-Aguilar, J.F.
author_sort Rahman, Mati ur
collection PubMed
description This paper is devoted to investigation of the fractional order fuzzy dynamical system, in our case, modeling the recent pandemic due to corona virus (COVID-19). The considered model is analyzed for exactness and uniqueness of solution by using fixed point theory approach. We have also provided the numerical solution of the nonlinear dynamical system with the help of some iterative method applying Caputo as well as Attangana-Baleanu and Caputo fractional type derivative. Also, random COVID-19 model described by a system of random differential equations was presented. At the end we have given some numerical approximation to illustrate the proposed method by applying different fractional values corresponding to uncertainty.
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spelling pubmed-74472362020-08-26 Investigating a nonlinear dynamical model of COVID-19 disease under fuzzy caputo, random and ABC fractional order derivative Rahman, Mati ur Arfan, Muhammad Shah, Kamal Gómez-Aguilar, J.F. Chaos Solitons Fractals Frontiers This paper is devoted to investigation of the fractional order fuzzy dynamical system, in our case, modeling the recent pandemic due to corona virus (COVID-19). The considered model is analyzed for exactness and uniqueness of solution by using fixed point theory approach. We have also provided the numerical solution of the nonlinear dynamical system with the help of some iterative method applying Caputo as well as Attangana-Baleanu and Caputo fractional type derivative. Also, random COVID-19 model described by a system of random differential equations was presented. At the end we have given some numerical approximation to illustrate the proposed method by applying different fractional values corresponding to uncertainty. Elsevier Ltd. 2020-11 2020-08-25 /pmc/articles/PMC7447236/ /pubmed/32863613 http://dx.doi.org/10.1016/j.chaos.2020.110232 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 Frontiers
Rahman, Mati ur
Arfan, Muhammad
Shah, Kamal
Gómez-Aguilar, J.F.
Investigating a nonlinear dynamical model of COVID-19 disease under fuzzy caputo, random and ABC fractional order derivative
title Investigating a nonlinear dynamical model of COVID-19 disease under fuzzy caputo, random and ABC fractional order derivative
title_full Investigating a nonlinear dynamical model of COVID-19 disease under fuzzy caputo, random and ABC fractional order derivative
title_fullStr Investigating a nonlinear dynamical model of COVID-19 disease under fuzzy caputo, random and ABC fractional order derivative
title_full_unstemmed Investigating a nonlinear dynamical model of COVID-19 disease under fuzzy caputo, random and ABC fractional order derivative
title_short Investigating a nonlinear dynamical model of COVID-19 disease under fuzzy caputo, random and ABC fractional order derivative
title_sort investigating a nonlinear dynamical model of covid-19 disease under fuzzy caputo, random and abc fractional order derivative
topic Frontiers
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7447236/
https://www.ncbi.nlm.nih.gov/pubmed/32863613
http://dx.doi.org/10.1016/j.chaos.2020.110232
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