Theoretical and Numerical Analysis of Fractional Order Mathematical Model on Recent COVID-19 Model Using Singular Kernel

This study presents a fractional-order mathematical model of coronavirus. We select COVID-19 model and convert the model into fractional order. Discuss its theoretical and numerical analysis. Firstly, we investigate the existence and uniqueness results using some fixed point theorems for the propose...

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Autores principales: Verma, Pratibha, Tiwari, Surabhi, Verma, Akanksha
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer India 2023
Materias:
Scientific Research Paper
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9838462/
http://dx.doi.org/10.1007/s40010-022-00805-9
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author Verma, Pratibha
Tiwari, Surabhi
Verma, Akanksha
author_facet Verma, Pratibha
Tiwari, Surabhi
Verma, Akanksha
author_sort Verma, Pratibha
collection PubMed
description This study presents a fractional-order mathematical model of coronavirus. We select COVID-19 model and convert the model into fractional order. Discuss its theoretical and numerical analysis. Firstly, we investigate the existence and uniqueness results using some fixed point theorems for the proposed fractional-order COVID-19 model. Further, we provide the stability analysis with the help of the Hyers-Ulam stability. The fractional operator is used in the Caputo sense. We obtain numerical solutions using famous numerical methods and provide a graphical interpretation using adopted numerical methods. Finally, we compare the above techniques and provide observations according to the obtained solutions.
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spelling pubmed-98384622023-01-17 Theoretical and Numerical Analysis of Fractional Order Mathematical Model on Recent COVID-19 Model Using Singular Kernel Verma, Pratibha Tiwari, Surabhi Verma, Akanksha Proc. Natl. Acad. Sci., India, Sect. A Phys. Sci. Scientific Research Paper This study presents a fractional-order mathematical model of coronavirus. We select COVID-19 model and convert the model into fractional order. Discuss its theoretical and numerical analysis. Firstly, we investigate the existence and uniqueness results using some fixed point theorems for the proposed fractional-order COVID-19 model. Further, we provide the stability analysis with the help of the Hyers-Ulam stability. The fractional operator is used in the Caputo sense. We obtain numerical solutions using famous numerical methods and provide a graphical interpretation using adopted numerical methods. Finally, we compare the above techniques and provide observations according to the obtained solutions. Springer India 2023-01-09 2023 /pmc/articles/PMC9838462/ http://dx.doi.org/10.1007/s40010-022-00805-9 Text en © The Author(s), under exclusive licence to The National Academy of Sciences, India 2023, Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law. 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 Scientific Research Paper
Verma, Pratibha
Tiwari, Surabhi
Verma, Akanksha
Theoretical and Numerical Analysis of Fractional Order Mathematical Model on Recent COVID-19 Model Using Singular Kernel
title Theoretical and Numerical Analysis of Fractional Order Mathematical Model on Recent COVID-19 Model Using Singular Kernel
title_full Theoretical and Numerical Analysis of Fractional Order Mathematical Model on Recent COVID-19 Model Using Singular Kernel
title_fullStr Theoretical and Numerical Analysis of Fractional Order Mathematical Model on Recent COVID-19 Model Using Singular Kernel
title_full_unstemmed Theoretical and Numerical Analysis of Fractional Order Mathematical Model on Recent COVID-19 Model Using Singular Kernel
title_short Theoretical and Numerical Analysis of Fractional Order Mathematical Model on Recent COVID-19 Model Using Singular Kernel
title_sort theoretical and numerical analysis of fractional order mathematical model on recent covid-19 model using singular kernel
topic Scientific Research Paper
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9838462/
http://dx.doi.org/10.1007/s40010-022-00805-9
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AT tiwarisurabhi theoreticalandnumericalanalysisoffractionalordermathematicalmodelonrecentcovid19modelusingsingularkernel
AT vermaakanksha theoreticalandnumericalanalysisoffractionalordermathematicalmodelonrecentcovid19modelusingsingularkernel

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