On modeling with multiplicative differential equations

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dc.contributor.authorTandoğdu, Yücel
dc.contributor.authorBashirov, Agamirza
dc.contributor.authorMısırlı, Emine
dc.contributor.authorÖzyapıcı, Ali
dc.date.accessioned2017-10-23T08:47:38Z
dc.date.available2017-10-23T08:47:38Z
dc.date.issued2011
dc.departmentEastern Mediterranean University, Faculty of Arts & Sciences, Department of Mathematicsen_US
dc.description.Due to copyright restrictions, the access to the publisher version (published version) of this article is only available via subscription. You may click URI and have access to the Publisher Version of this article through the publisher web site or online databases, if your Library or institution has subscription to the related journal or publicationen_US
dc.description.abstractThis work is aimed to show that various problems from different fields can be modeled more efficiently using multiplicative calculus, in place of Newtonian calculus. Since multiplicative calculus is still in its infancy, some effort is put to explain its basic principles such as exponential arithmetic, multiplicative calculus, and multiplicative differential equations. Examples from finance, actuarial science, economics, and social sciences are presented with solutions using multiplicative calculus concepts. Based on the encouraging results obtained it is recommended that further research into this field be vested to exploit the applicability of multiplicative calculus in different fields as well as the development of multiplicative calculus concepts.en_US
dc.identifier.doi10.1007/s11766-011-2767-6
dc.identifier.endpage438en_US
dc.identifier.issn1005-1031(print)
dc.identifier.issn1993-0445(online)
dc.identifier.issue4en_US
dc.identifier.scopus2-s2.0-84855554154
dc.identifier.scopusqualityQ3
dc.identifier.startpage425en_US
dc.identifier.urihttp://dx.doi.org/10.1007/s11766-011-2767-6
dc.identifier.urihttps://hdl.handle.net/11129/3475
dc.identifier.volume26en_US
dc.identifier.wosWOS:000298997300005
dc.identifier.wosqualityQ2
dc.indekslendigikaynakScopus
dc.indekslendigikaynakWeb of Science
dc.language.isoen
dc.publisherSP Editorial Committee of Applied Mathematics - A Journal of Chinese Universitiesen_US
dc.relation.ispartofApplied Mathematics-A Journal of Chinese Universities
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectGompertz function, 97M10, exponential arithmetic, elasticity, 93A30, multiplicative calculus,en_US
dc.subjectApplications of Mathematics, 00A71, Mathematics, general, growth, Mathematics, MATHEMATICS, APPLIED, CALCULUSen_US
dc.titleOn modeling with multiplicative differential equationsen_US
dc.typeArticle

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