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A Numeric-Analytic Method for Approximating a Giving Up Smoking Model Containing Fractional Derivatives

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dc.authorscopusid16303495600
dc.authorscopusid35750924900
dc.authorscopusid8842321100
dc.contributor.authorErtürk, V.S.
dc.contributor.authorZaman, G.
dc.contributor.authorMomani, S.
dc.date.accessioned2020-06-21T14:17:21Z
dc.date.available2020-06-21T14:17:21Z
dc.date.issued2012
dc.departmentOndokuz Mayıs Üniversitesien_US
dc.department-temp[Ertürk] Vedat Suat, Department of Mathematics, Ondokuz Mayis University Faculty of Science and Arts, Samsun, Turkey; [Zaman] Gul, Department of Mathematics, University of Malakand, Chakdara, Pakistan; [Momani] Shaher M., Department of Mathermatics, The University of Jordan, Amman, Jordanen_US
dc.description.abstractSmoking is one of the main causes of health problems and continues to be one of the world's most significant health challenges. In this paper, the dynamics of a giving up smoking model containing fractional derivatives is studied numerically. The multistep generalized differential transform method (for short MSGDTM) is employed to compute accurate approximate solutions to a giving up smoking model of fractional order. The unique positive solution for the fractional order model is presented. A comparative study between the new algorithm and the classical Runge-Kutta method is presented in the case of integer-order derivatives. The solutions obtained are also presented graphically. © 2011 Elsevier Ltd. All rights reserved.en_US
dc.identifier.doi10.1016/j.camwa.2012.02.002
dc.identifier.endpage3074en_US
dc.identifier.isbn80302548
dc.identifier.issn0898-1221
dc.identifier.issue10en_US
dc.identifier.scopus2-s2.0-84868196855
dc.identifier.scopusqualityQ1
dc.identifier.startpage3065en_US
dc.identifier.urihttps://doi.org/10.1016/j.camwa.2012.02.002
dc.identifier.volume64en_US
dc.identifier.wosWOS:000311460600012
dc.identifier.wosqualityQ1
dc.language.isoenen_US
dc.publisherPergamon-Elsevier Science Ltden_US
dc.relation.ispartofComputers & Mathematics with Applicationsen_US
dc.relation.journalComputers & Mathematics With Applicationsen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectDifferential Transform Methoden_US
dc.subjectFractional Differential Equationsen_US
dc.subjectMathematical Modelen_US
dc.subjectSmoking Dynamicsen_US
dc.titleA Numeric-Analytic Method for Approximating a Giving Up Smoking Model Containing Fractional Derivativesen_US
dc.typeArticleen_US
dspace.entity.typePublication

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