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Applications of proportional calculus and a non-Newtonian logistic growth model

dc.contributor.authorPinto, Manuel
dc.contributor.authorTorres, Ricardo
dc.contributor.authorCampillay-Llanos, William
dc.contributor.authorGuevara-Morales, Felipe
dc.date.accessioned2023-05-23T14:14:11Z
dc.date.available2023-05-23T14:14:11Z
dc.date.issued2020
dc.identifier.urihttp://repositorio.ucm.cl/handle/ucm/4803
dc.description.abstractOn the set of positive real numbers, multiplication, represented by ⊕, is considered as an operation associated with the notion of sum, and the operation a ⨀ b = aln(b) represents the meaning of the traditional multiplication. The triple (R+, ⊕,⨀) forms an ordered and complete field in which derivative and integration operators are defined analogously to the Differential and Integral Calculus. In this article, we present the proportional arithmetic and we construct the theory of ordinary proportional differential equations. A proportional version of Gronwall inequality, Gompertz’s function, the q-Periodic functions, proportional heat, and wave equations as well as a proportional version of Fourier’s series are presented. Furthermore, a non-Newtonian logistic growth model is proposed.es_CL
dc.language.isoenes_CL
dc.rightsAtribución-NoComercial-SinDerivadas 3.0 Chile*
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/3.0/cl/*
dc.sourceProyecciones, 39(6), 1471-1513es_CL
dc.subjectProportional arithmetices_CL
dc.subjectProportional calculus and proportional derivative and integrales_CL
dc.subjectGeometric differencees_CL
dc.subjectGeometric integeres_CL
dc.subjectProportional differential equationses_CL
dc.subjectProportional wave equationes_CL
dc.subjectProportional heat equationes_CL
dc.subjectProportional logistic growthes_CL
dc.titleApplications of proportional calculus and a non-Newtonian logistic growth modeles_CL
dc.typeArticlees_CL
dc.ucm.facultadFacultad de Ciencias Básicases_CL
dc.ucm.indexacionScopuses_CL
dc.ucm.indexacionScieloes_CL
dc.ucm.uriwww.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172020000601471&lang=ptes_CL
dc.ucm.doidoi.org/10.22199/issn.0717-6279-2020-06-0090es_CL


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Atribución-NoComercial-SinDerivadas 3.0 Chile
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