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

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dc.authoridFarman, Dr. Muhamamd/0000-0001-7616-0500
dc.contributor.authorFarman, Muhammad
dc.contributor.authorAkgul, Ali
dc.contributor.authorAbdeljawad, Thabet
dc.contributor.authorNaik, Parvaiz Ahmad
dc.contributor.authorBukhari, Nabila
dc.contributor.authorAhmad, Aqeel
dc.date.accessioned2024-12-24T19:25:10Z
dc.date.available2024-12-24T19:25:10Z
dc.date.issued2022
dc.departmentSiirt Üniversitesi
dc.description.abstractIn 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. (C) 2021 THE AUTHORS. Published by Elsevier BV on behalf of Faculty of Engineering, Alexandria University.
dc.identifier.doi10.1016/j.aej.2021.07.040
dc.identifier.endpage2073
dc.identifier.issn1110-0168
dc.identifier.issn2090-2670
dc.identifier.issue3
dc.identifier.scopus2-s2.0-85112069072
dc.identifier.scopusqualityQ1
dc.identifier.startpage2062
dc.identifier.urihttps://doi.org/10.1016/j.aej.2021.07.040
dc.identifier.urihttps://hdl.handle.net/20.500.12604/6305
dc.identifier.volume61
dc.identifier.wosWOS:000744585200004
dc.identifier.wosqualityQ1
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherElsevier
dc.relation.ispartofAlexandria Engineering Journal
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.snmzKA_20241222
dc.subjectFractional Ebola Model
dc.subjectUniqueness
dc.subjectStability
dc.subjectAtangana Baleanu derivative
dc.titleModeling and analysis of fractional order Ebola virus model with Mittag-Leffler kernel
dc.typeArticle

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