Investigation of a time-fractional COVID-19 mathematical model with singular kernel

We investigate the fractional dynamics of a coronavirus mathematical model under a Caputo derivative. The Laplace–Adomian decomposition and Homotopy perturbation techniques are applied to attain the approximate series solutions of the considered system. The existence and uniqueness solution of the s...

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Autores principales: Adnan, Ali, Amir, ur Rahmamn, Mati, Shah, Zahir, Kumam, Poom
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2022
Materias:
Research
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9013746/
https://www.ncbi.nlm.nih.gov/pubmed/35462615
http://dx.doi.org/10.1186/s13662-022-03701-z
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author Adnan
Ali, Amir
ur Rahmamn, Mati
Shah, Zahir
Kumam, Poom
author_facet Adnan
Ali, Amir
ur Rahmamn, Mati
Shah, Zahir
Kumam, Poom
author_sort Adnan
collection PubMed
description We investigate the fractional dynamics of a coronavirus mathematical model under a Caputo derivative. The Laplace–Adomian decomposition and Homotopy perturbation techniques are applied to attain the approximate series solutions of the considered system. The existence and uniqueness solution of the system are presented by using the Banach fixed-point theorem. Ulam–Hyers-type stability is investigated for the proposed model. The obtained approximations are compared with numerical simulations of the proposed model as well as associated real data for numerous fractional-orders. The results reveal a good comparison between the numerical simulations versus approximations of the considered model. Further, one can see good agreements are obtained as compared to the classical integer order.
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spelling pubmed-90137462022-04-18 Investigation of a time-fractional COVID-19 mathematical model with singular kernel Adnan Ali, Amir ur Rahmamn, Mati Shah, Zahir Kumam, Poom Adv Cont Discr Mod Research We investigate the fractional dynamics of a coronavirus mathematical model under a Caputo derivative. The Laplace–Adomian decomposition and Homotopy perturbation techniques are applied to attain the approximate series solutions of the considered system. The existence and uniqueness solution of the system are presented by using the Banach fixed-point theorem. Ulam–Hyers-type stability is investigated for the proposed model. The obtained approximations are compared with numerical simulations of the proposed model as well as associated real data for numerous fractional-orders. The results reveal a good comparison between the numerical simulations versus approximations of the considered model. Further, one can see good agreements are obtained as compared to the classical integer order. Springer International Publishing 2022-04-18 2022 /pmc/articles/PMC9013746/ /pubmed/35462615 http://dx.doi.org/10.1186/s13662-022-03701-z Text en © The Author(s) 2022 https://creativecommons.org/licenses/by/4.0/Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/ (https://creativecommons.org/licenses/by/4.0/) .
spellingShingle Research
Adnan
Ali, Amir
ur Rahmamn, Mati
Shah, Zahir
Kumam, Poom
Investigation of a time-fractional COVID-19 mathematical model with singular kernel
title Investigation of a time-fractional COVID-19 mathematical model with singular kernel
title_full Investigation of a time-fractional COVID-19 mathematical model with singular kernel
title_fullStr Investigation of a time-fractional COVID-19 mathematical model with singular kernel
title_full_unstemmed Investigation of a time-fractional COVID-19 mathematical model with singular kernel
title_short Investigation of a time-fractional COVID-19 mathematical model with singular kernel
title_sort investigation of a time-fractional covid-19 mathematical model with singular kernel
topic Research
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9013746/
https://www.ncbi.nlm.nih.gov/pubmed/35462615
http://dx.doi.org/10.1186/s13662-022-03701-z
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AT shahzahir investigationofatimefractionalcovid19mathematicalmodelwithsingularkernel
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