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

dc.creatorPinto, Manuel
dc.creatorTorres, Ricardo
dc.creatorCampillay-Llanos, William
dc.creatorGuevara-Morales, Felipe
dc.date2023-05-23T14:14:11Z
dc.date2023-05-23T14:14:11Z
dc.date2020
dc.date.accessioned2024-05-02T20:31:17Z
dc.date.available2024-05-02T20:31:17Z
dc.identifierhttp://repositorio.ucm.cl/handle/ucm/4803
dc.identifier.urihttps://repositorioslatinoamericanos.uchile.cl/handle/2250/9275043
dc.descriptionOn 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.
dc.languageen
dc.rightsAtribución-NoComercial-SinDerivadas 3.0 Chile
dc.rightshttp://creativecommons.org/licenses/by-nc-nd/3.0/cl/
dc.sourceProyecciones, 39(6), 1471-1513
dc.subjectProportional arithmetic
dc.subjectProportional calculus and proportional derivative and integral
dc.subjectGeometric difference
dc.subjectGeometric integer
dc.subjectProportional differential equations
dc.subjectProportional wave equation
dc.subjectProportional heat equation
dc.subjectProportional logistic growth
dc.titleApplications of proportional calculus and a non-Newtonian logistic growth model
dc.typeArticle


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