The differential transform method and Pade approximants for a fractional population growth model

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dc.contributor.authorErturk, Vedat Suat
dc.contributor.authorYildirim, Ahmet
dc.contributor.authorMomanic, Shaher
dc.contributor.authorKhan, Yasir
dc.date.accessioned2019-10-27T21:33:52Z
dc.date.available2019-10-27T21:33:52Z
dc.date.issued2012
dc.departmentEge Üniversitesien_US
dc.description.abstractPurpose - The purpose of this paper is to propose an approximate method for solving a fractional population growth model in a closed system. The fractional derivatives are described in the Caputo sense. Design/methodology/approach - The approach is based on the differential transform method. The solutions of a fractional model equation are calculated in the form of convergent series with easily computable components. Findings - The diagonal Pade approximants are effectively used in the analysis to capture the essential behavior of the solution. Originality/value - Illustrative examples are included to demonstrate the validity and applicability of the technique.en_US
dc.identifier.doi10.1108/09615531211244925
dc.identifier.endpage802en_US
dc.identifier.issn0961-5539
dc.identifier.issn0961-5539en_US
dc.identifier.issue06.Julen_US
dc.identifier.startpage791en_US
dc.identifier.urihttps://doi.org/10.1108/09615531211244925
dc.identifier.urihttps://hdl.handle.net/11454/45448
dc.identifier.volume22en_US
dc.identifier.wosWOS:000310411700006en_US
dc.identifier.wosqualityQ2en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.language.isoenen_US
dc.publisherEmerald Group Publishing Limiteden_US
dc.relation.ispartofInternational Journal of Numerical Methods For Heat & Fluid Flowen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectPopulation dynamicsen_US
dc.subjectCaputo fractional derivativeen_US
dc.subjectDifferential transform methoden_US
dc.subjectPade approximantsen_US
dc.subjectFractional integro-differential equationen_US
dc.subjectMathematical analysisen_US
dc.subjectModellingen_US
dc.titleThe differential transform method and Pade approximants for a fractional population growth modelen_US
dc.typeArticleen_US

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