Author(s):
Kuroda, Lucas Kenjy Bazaglia [UNESP] ; Gomes, Arianne Vellasco [UNESP] ; Tavoni, Robinson [UNESP] ; de Arruda Mancera, Paulo Fernando [UNESP] ; Varalta, Najla [UNESP] ; de Figueiredo Camargo, Rubens [UNESP]
Date: 2018
Persistent ID: http://hdl.handle.net/11449/175076
Origin: Oasisbr
Subject(s): Caputo fractional derivative; Fractional calculus; Fractional harmonic oscillator; Fractional logistic equation; Fractional modeling; Caputo fractional derivative; Caputo fractional derivative; Fractional calculus; Fractional calculus; Fractional harmonic oscillator; Fractional harmonic oscillator; Fractional logistic equation; Fractional logistic equation; Fractional modeling; Fractional modeling
Description
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Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)
Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)
This paper discusses the modeling via mathematical methods based on fractional calculus, using Caputo fractional derivative. From the fractional models associated with harmonic oscillator, logistic equation and Malthusian growth, an unexpected behavior of the Caputo fractional derivative is discussed. The difference between the rate of variation and the order of the Caputo fractional derivative is explained.
Departamento de Bioestatística Instituto de Biociências UNESP, Distrito de Rubião Junior
Faculdade de Ciências UNESP, Av. Eng. Luiz Edmundo Carrijo Coube, 14-01, Bairro Vargem Limpa
Departamento de Matemática Faculdade de Ciências UNESP, Av. Eng. Luiz Edmundo Carrijo Coube, 14-01, Bairro Vargem Limpa
Departamento de Bioestatística Instituto de Biociências UNESP, Distrito de Rubião Junior
Faculdade de Ciências UNESP, Av. Eng. Luiz Edmundo Carrijo Coube, 14-01, Bairro Vargem Limpa
Departamento de Matemática Faculdade de Ciências UNESP, Av. Eng. Luiz Edmundo Carrijo Coube, 14-01, Bairro Vargem Limpa
FAPESP: 2013/08133-0
