Existence of solution and stability for the fractional order novel coronavirus (nCoV-2019) model

The aim of this work is to present a new fractional order model of novel coronavirus (nCoV-2019) under Caputo–Fabrizio derivative. We make use of fixed point theory and Picard–Lindelöf technique to explore the existence and uniqueness of solution for the proposed model. Moreover, we explore the gene...

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Autores principales: Hussain, Azhar, Baleanu, Dumitru, Adeel, Muhammad
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2020
Materias:
Research
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7382328/
https://www.ncbi.nlm.nih.gov/pubmed/32834817
http://dx.doi.org/10.1186/s13662-020-02845-0
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author Hussain, Azhar
Baleanu, Dumitru
Adeel, Muhammad
author_facet Hussain, Azhar
Baleanu, Dumitru
Adeel, Muhammad
author_sort Hussain, Azhar
collection PubMed
description The aim of this work is to present a new fractional order model of novel coronavirus (nCoV-2019) under Caputo–Fabrizio derivative. We make use of fixed point theory and Picard–Lindelöf technique to explore the existence and uniqueness of solution for the proposed model. Moreover, we explore the generalized Hyers–Ulam stability of the model using Gronwall’s inequality.
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spelling pubmed-73823282020-07-28 Existence of solution and stability for the fractional order novel coronavirus (nCoV-2019) model Hussain, Azhar Baleanu, Dumitru Adeel, Muhammad Adv Differ Equ Research The aim of this work is to present a new fractional order model of novel coronavirus (nCoV-2019) under Caputo–Fabrizio derivative. We make use of fixed point theory and Picard–Lindelöf technique to explore the existence and uniqueness of solution for the proposed model. Moreover, we explore the generalized Hyers–Ulam stability of the model using Gronwall’s inequality. Springer International Publishing 2020-07-25 2020 /pmc/articles/PMC7382328/ /pubmed/32834817 http://dx.doi.org/10.1186/s13662-020-02845-0 Text en © The Author(s) 2020 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/.
spellingShingle Research
Hussain, Azhar
Baleanu, Dumitru
Adeel, Muhammad
Existence of solution and stability for the fractional order novel coronavirus (nCoV-2019) model
title Existence of solution and stability for the fractional order novel coronavirus (nCoV-2019) model
title_full Existence of solution and stability for the fractional order novel coronavirus (nCoV-2019) model
title_fullStr Existence of solution and stability for the fractional order novel coronavirus (nCoV-2019) model
title_full_unstemmed Existence of solution and stability for the fractional order novel coronavirus (nCoV-2019) model
title_short Existence of solution and stability for the fractional order novel coronavirus (nCoV-2019) model
title_sort existence of solution and stability for the fractional order novel coronavirus (ncov-2019) model
topic Research
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7382328/
https://www.ncbi.nlm.nih.gov/pubmed/32834817
http://dx.doi.org/10.1186/s13662-020-02845-0
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