$Modeling and analysis of fractional order Ebola virus model with Mittag-Leffler kernel$
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Modeling and analysis of fractional order Ebola virus model with Mittag-Leffler kernel

In this article, we presented a nonlinear time-fractional mathematical model of the Ebola Virus in order to understand the outbreak of this epidemic disease. Ebola virus is a highly contagious disease that can be spread in the population depending upon the number of individuals and their dynamics in...

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Autores principales:	Muhammad Farman, Ali Akgül, Thabet Abdeljawad, Parvaiz Ahmad Naik, Nabila Bukhari, Aqeel Ahmad
Formato:	article
Lenguaje:	EN
Publicado:	Elsevier 2022
Materias:	Fractional Ebola Model Uniqueness Stability Atangana Baleanu derivative Engineering (General). Civil engineering (General) TA1-2040
Acceso en línea:	https://doaj.org/article/b75f3c01c60a4b9593103e20648d0896
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spelling	oai:doaj.org-article:b75f3c01c60a4b9593103e20648d08962021-11-30T04:13:56ZModeling and analysis of fractional order Ebola virus model with Mittag-Leffler kernel1110-016810.1016/j.aej.2021.07.040https://doaj.org/article/b75f3c01c60a4b9593103e20648d08962022-03-01T00:00:00Zhttp://www.sciencedirect.com/science/article/pii/S111001682100510Xhttps://doaj.org/toc/1110-0168In this article, we presented a nonlinear time-fractional mathematical model of the Ebola Virus in order to understand the outbreak of this epidemic disease. Ebola virus is a highly contagious disease that can be spread in the population depending upon the number of individuals and their dynamics in the community. The Caputo and Atangana Baleanu fractional derivative operators are employed to get the solution of the system of fractional differential equations. The qualitative analysis has been made for the fractional-order model. Fixed-point theorem and an iterative schemes are used to get the existence and uniqueness. The actual behavior of the time-fractional model has been obtained by employing Laplace Adomian Decomposition technique. Finally, numerical results have been established for the system of fractional differential equations with simulations to demonstrate the impacts of the fractional-order parameters on the proposed system to achieve the theoretical outcomes and a comparison has been made with the Caputo for better analysis.Muhammad FarmanAli AkgülThabet AbdeljawadParvaiz Ahmad NaikNabila BukhariAqeel AhmadElsevierarticleFractional Ebola ModelUniquenessStabilityAtangana Baleanu derivativeEngineering (General). Civil engineering (General)TA1-2040ENAlexandria Engineering Journal, Vol 61, Iss 3, Pp 2062-2073 (2022)
institution	DOAJ
collection	DOAJ
language	EN
topic	Fractional Ebola Model Uniqueness Stability Atangana Baleanu derivative Engineering (General). Civil engineering (General) TA1-2040
spellingShingle	Fractional Ebola Model Uniqueness Stability Atangana Baleanu derivative Engineering (General). Civil engineering (General) TA1-2040 Muhammad Farman Ali Akgül Thabet Abdeljawad Parvaiz Ahmad Naik Nabila Bukhari Aqeel Ahmad Modeling and analysis of fractional order Ebola virus model with Mittag-Leffler kernel
description	In this article, we presented a nonlinear time-fractional mathematical model of the Ebola Virus in order to understand the outbreak of this epidemic disease. Ebola virus is a highly contagious disease that can be spread in the population depending upon the number of individuals and their dynamics in the community. The Caputo and Atangana Baleanu fractional derivative operators are employed to get the solution of the system of fractional differential equations. The qualitative analysis has been made for the fractional-order model. Fixed-point theorem and an iterative schemes are used to get the existence and uniqueness. The actual behavior of the time-fractional model has been obtained by employing Laplace Adomian Decomposition technique. Finally, numerical results have been established for the system of fractional differential equations with simulations to demonstrate the impacts of the fractional-order parameters on the proposed system to achieve the theoretical outcomes and a comparison has been made with the Caputo for better analysis.
format	article
author	Muhammad Farman Ali Akgül Thabet Abdeljawad Parvaiz Ahmad Naik Nabila Bukhari Aqeel Ahmad
author_facet	Muhammad Farman Ali Akgül Thabet Abdeljawad Parvaiz Ahmad Naik Nabila Bukhari Aqeel Ahmad
author_sort	Muhammad Farman
title	Modeling and analysis of fractional order Ebola virus model with Mittag-Leffler kernel
title_short	Modeling and analysis of fractional order Ebola virus model with Mittag-Leffler kernel
title_full	Modeling and analysis of fractional order Ebola virus model with Mittag-Leffler kernel
title_fullStr	Modeling and analysis of fractional order Ebola virus model with Mittag-Leffler kernel
title_full_unstemmed	Modeling and analysis of fractional order Ebola virus model with Mittag-Leffler kernel
title_sort	modeling and analysis of fractional order ebola virus model with mittag-leffler kernel
publisher	Elsevier
publishDate	2022
url	https://doaj.org/article/b75f3c01c60a4b9593103e20648d0896
work_keys_str_mv	AT muhammadfarman modelingandanalysisoffractionalorderebolavirusmodelwithmittaglefflerkernel AT aliakgul modelingandanalysisoffractionalorderebolavirusmodelwithmittaglefflerkernel AT thabetabdeljawad modelingandanalysisoffractionalorderebolavirusmodelwithmittaglefflerkernel AT parvaizahmadnaik modelingandanalysisoffractionalorderebolavirusmodelwithmittaglefflerkernel AT nabilabukhari modelingandanalysisoffractionalorderebolavirusmodelwithmittaglefflerkernel AT aqeelahmad modelingandanalysisoffractionalorderebolavirusmodelwithmittaglefflerkernel
_version_	1718406827135205376

Modeling and analysis of fractional order Ebola virus model with Mittag-Leffler kernel

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