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Fractional differential equations with bio-medical applications

dc.contributor.authorArshad, Sadiaa
dc.contributor.authorBaleanu, Dumitru
dc.contributor.authorTang, Yifa
dc.contributor.authorID56389tr_TR
dc.date.accessioned2022-04-29T12:59:07Z
dc.date.available2022-04-29T12:59:07Z
dc.date.issued2019
dc.departmentÇankaya Üniversitesi, Fen - Edebiyat Fakültesi, Matematik Bölümüen_US
dc.description.abstractIn this chapter, we investigate the dynamics of fractional order models in bio-medical. First, we examine the fractional order model of HIV Infection and analyze the stability results for non-infected and infected equilibrium points. Then, we concentrate on the fractional order tumor growth model and establish a sufficient condition for existence and uniqueness of the solution of the fractional order tumor growth model. Local stability of the four equilibrium points of the model, namely the tumor free equilibrium, the dead equilibrium of type 1, the dead equilibrium of type 2 and the coexisting equilibrium is investigated by applying Matignons condition. Dynamics of the fractional order tumor model is numerically investigated by varying the fractional-order parameter and the system parameters. © 2019 Walter de Gruyter GmbH, Berlin/Boston.en_US
dc.description.publishedMonth1
dc.identifier.citationArshad, Sadiaa; Baleanu, Dumitru; Tang, Yifa (2019). "Fractional differential equations with bio-medical applications", Applications in Engineering, Life and Social Sciences, Part A, pp. 1-20.en_US
dc.identifier.doi10.1515/9783110571905-001
dc.identifier.endpage20en_US
dc.identifier.isbn9783110571905
dc.identifier.isbn9783110570915
dc.identifier.startpage1en_US
dc.identifier.urihttp://hdl.handle.net/20.500.12416/5483
dc.language.isoenen_US
dc.relation.ispartofApplications in Engineering, Life and Social Sciences, Part Aen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectBio-Medical Modelsen_US
dc.subjectFractional Calculusen_US
dc.subjectNumerical Simulationsen_US
dc.subjectStability Analysisen_US
dc.titleFractional differential equations with bio-medical applicationstr_TR
dc.titleFractional Differential Equations With Bio-Medical Applicationsen_US
dc.typeBook Parten_US
dspace.entity.typePublication

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