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The Differential Transform Method and Padé Approximants for a Fractional Population Growth Model

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dc.authorscopusid16303495600
dc.authorscopusid14832004200
dc.authorscopusid55361298300
dc.authorscopusid35776538700
dc.contributor.authorErtürk, V.S.
dc.contributor.authorYıldırım, A.
dc.contributor.authorMomanic, S.
dc.contributor.authorKhan, Y.
dc.date.accessioned2020-06-21T14:28:29Z
dc.date.available2020-06-21T14:28:29Z
dc.date.issued2012
dc.departmentOndokuz Mayıs Üniversitesien_US
dc.department-temp[Ertürk] Vedat Suat, Department of Mathematics, Ondokuz Mayis Üniversitesi, Samsun, Turkey; [Yıldırım] Ahmet, Department of Mathematics, Ege Üniversitesi, Izmir, Turkey; [Momanic] Shaher, Department of Mathematics, The University of Jordan, Amman, Jordan; [Khan] Yasir, School of Mathematical Sciences, Zhejiang University, Hangzhou, Zhejiang, Chinaen_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 Padé 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. © Emerald Group Publishing Limited.en_US
dc.identifier.doi10.1108/09615531211244925
dc.identifier.endpage802en_US
dc.identifier.issn0961-5539
dc.identifier.issue6en_US
dc.identifier.scopus2-s2.0-84866395790
dc.identifier.scopusqualityQ1
dc.identifier.startpage791en_US
dc.identifier.urihttps://doi.org/10.1108/09615531211244925
dc.identifier.volume22en_US
dc.identifier.wosWOS:000310411700006
dc.identifier.wosqualityQ1
dc.language.isoenen_US
dc.publisherEmerald Group Publishing Ltden_US
dc.relation.ispartofInternational Journal of Numerical Methods for Heat & Fluid Flowen_US
dc.relation.journalInternational 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.subjectCaputo Fractional Derivativeen_US
dc.subjectDifferential Transform Methoden_US
dc.subjectFractional Integro-Differential Equationen_US
dc.subjectMathematical Analysisen_US
dc.subjectModelingen_US
dc.subjectPadé Approximantsen_US
dc.subjectPopulation Dynamicsen_US
dc.titleThe Differential Transform Method and Padé Approximants for a Fractional Population Growth Modelen_US
dc.typeArticleen_US
dspace.entity.typePublication

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