Application of fuzzy ABC fractional differential equations in infectious diseases

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dc.authoridAllahviranloo, Tofigh/0000-0002-6673-3560
dc.authorwosidAllahviranloo, Tofigh/V-4843-2019
dc.contributor.authorBabakordi, Fatemeh
dc.contributor.authorAllahviranloo, Tofigh
dc.date.accessioned2024-05-20T14:38:43Z
dc.date.available2024-05-20T14:38:43Z
dc.date.issued2024
dc.departmentİstinye Üniversitesien_US
dc.description.abstractIn this paper, for solving the HIV fuzzy mathematical model, it is first transformed into a system of three nonlinear fuzzy Atangana-Baleanu-Caputo (ABC) fractional differential equations with three unknowns and fuzzy initial values. Then, using the generalized Hukuhara difference and ABC fractional derivative and applying the fuzzy numerical ABC-PI method, its fuzzy solution is calculated. Moreover, some theorems are defined to prove the existence and uniqueness of the solution. Then, it is explained that the proposed method can be used for the system of any equations with unknowns.Therefore, in order to determine the solution of the fuzzy mathematical model of the transmission of COVID-19, it is transformed into a system of six nonlinear fuzzy Atangana-Baleanu-Caputo (ABC) fractional differential equations with six unknowns and fuzzy initial values and is solved similarly. At the end, a numerical example is presented to verify the effectiveness of the proposed method.en_US
dc.identifier.doi10.22034/cmde.2023.47768.2000
dc.identifier.endpage15en_US
dc.identifier.issn2345-3982
dc.identifier.issn2383-2533
dc.identifier.issue1en_US
dc.identifier.scopus2-s2.0-85183384499en_US
dc.identifier.scopusqualityN/Aen_US
dc.identifier.startpage1en_US
dc.identifier.urihttps://doi.org10.22034/cmde.2023.47768.2000
dc.identifier.urihttps://hdl.handle.net/20.500.12713/4582
dc.identifier.volume12en_US
dc.identifier.wosWOS:001107519400013en_US
dc.identifier.wosqualityN/Aen_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherUniv Tabrizen_US
dc.relation.ispartofComputational Methods For Differential Equationsen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.snmz20240519_kaen_US
dc.subjectFuzzy Atangana-Baleanu-Caputo(Abc) Fractional Derivativeen_US
dc.subjectFuzzy Abc Fractional Differential Equationsen_US
dc.subjectHiv Fuzzy Mathematical Modelen_US
dc.titleApplication of fuzzy ABC fractional differential equations in infectious diseasesen_US
dc.typeArticleen_US

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