Unexpected behavior of Caputo fractional derivative
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Data
2017-09-01
Autores
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]
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Resumo
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.
Descrição
Palavras-chave
Caputo fractional derivative, Fractional calculus, Fractional harmonic oscillator, Fractional logistic equation, Fractional modeling
Como citar
Computational and Applied Mathematics, v. 36, n. 3, p. 1173-1183, 2017.