DSpace Repository

A study of behaviour for fractional order diabetes model via the nonsingular Kernel

Show simple item record

dc.contributor.author Rashid, Saima
dc.contributor.author Jarad, Fahd
dc.contributor.author Jawa, Taghreed M.
dc.date.accessioned 2024-02-19T13:14:13Z
dc.date.available 2024-02-19T13:14:13Z
dc.date.issued 2022
dc.identifier.citation Rashid, Saima; Jarad, Fahd; Jawa, Taghreed M. (2022). "A study of behaviour for fractional order diabetes model via the nonsingular Kernel", AIMS Mathematics, Vol.7, No.4, pp.5072-5092. tr_TR
dc.identifier.issn 24736988
dc.identifier.uri http://hdl.handle.net/20.500.12416/7260
dc.description.abstract A susceptible diabetes comorbidity model was used in the mathematical treatment to explain the predominance of mellitus. In the susceptible diabetes comorbidity model, diabetic patients were divided into three groups: susceptible diabetes, uncomplicated diabetics, and complicated diabetics. In this research, we investigate the susceptible diabetes comorbidity model and its intricacy via the Atangana-Baleanu fractional derivative operator in the Caputo sense (ABC). The analysis backs up the idea that the aforesaid fractional order technique plays an important role in predicting whether or not a person will develop diabetes after a substantial immunological assault. Using the fixed point postulates, several theoretic outcomes of existence and Ulam’s stability are proposed for the susceptible diabetes comorbidity model. Meanwhile, a mathematical approach is provided for determining the numerical solution of the developed framework employing the Adams type predictor–corrector algorithm for the ABC-fractional integral operator. Numerous mathematical representations correlating to multiple fractional orders are shown. It brings up the prospect of employing this structure to generate framework regulators for glucose metabolism in type 2 diabetes mellitus patients. tr_TR
dc.language.iso eng tr_TR
dc.relation.isversionof 10.3934/math.2022282 tr_TR
dc.rights info:eu-repo/semantics/openAccess tr_TR
dc.subject Adams Type Predictor–Corrector Method tr_TR
dc.subject Atangana-Baleanu Fractional Derivative Operator tr_TR
dc.subject Fixed Point Theory tr_TR
dc.subject Fractional Diabetes Model tr_TR
dc.subject Ulam’s Stability tr_TR
dc.title A study of behaviour for fractional order diabetes model via the nonsingular Kernel tr_TR
dc.type article tr_TR
dc.relation.journal AIMS Mathematics tr_TR
dc.contributor.authorID 234808 tr_TR
dc.identifier.volume 7 tr_TR
dc.identifier.issue 4 tr_TR
dc.identifier.startpage 5072 tr_TR
dc.identifier.endpage 5092 tr_TR
dc.contributor.department Çankaya Üniversitesi, Fen-Edebiyat Fakültesi, Matematik Bölümü tr_TR


Files in this item

This item appears in the following Collection(s)

Show simple item record