Fractional Order Glucose Insulin Model with Generalized Mittag-Leffler Kernel

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dc.contributor.authorAkgul, Ali
dc.contributor.authorFarman, Muhammad
dc.contributor.authorAhmad, Aqeel
dc.contributor.authorKhan, Adnan
dc.contributor.authorZahran, Siraj
dc.contributor.authorAwad, Wasan Shakir
dc.date.accessioned2024-12-24T19:10:08Z
dc.date.available2024-12-24T19:10:08Z
dc.date.issued2023
dc.departmentSiirt Üniversitesi
dc.description.abstractTIn this paper, We formulate a fractional-order mathematical model for the populations of diabetic patients consist three-compartment G, X, and I. Diabetes Model is investigated with fractal-fractional operator for normal and type-1 diabetes. Also, the deterministic mathematical model for diabetes mellitus is investigated with the effect of the fractional parameters. Solutions are derived to investigate the influence of fractional operator which shows the impact of the disease for type-1 diabetes. The existence and uniqueness results of the fractional-order model are derived using fixed point theory. Simulation has been made for developed solutions of fractional order diabetes model to check the actual behavior of a normal person as well as a type-1 diabetes patient. © 2023.
dc.identifier.doi10.18576/amis/170219
dc.identifier.endpage374
dc.identifier.issn1935-0090
dc.identifier.issue2
dc.identifier.scopus2-s2.0-85151825585
dc.identifier.scopusqualityQ2
dc.identifier.startpage365
dc.identifier.urihttps://doi.org10.18576/amis/170219
dc.identifier.urihttps://hdl.handle.net/20.500.12604/3955
dc.identifier.volume17
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherNatural Sciences Publishing
dc.relation.ispartofApplied Mathematics and Information Sciences
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.snmzKA_20241222
dc.subjectDiabetes model
dc.subjectFractal-Fractional
dc.subjectGlucose metabolism
dc.subjectUlam-Hyres stability
dc.subjectUniqueness
dc.titleFractional Order Glucose Insulin Model with Generalized Mittag-Leffler Kernel
dc.typeArticle

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