Unexpected behavior of Caputo fractional derivative

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]

Unexpected behavior of Caputo fractional derivative

Arquivos

2-s2.0-85028007060.pdf (674.05 KB)

Data

2017-09-01

Autores

Kuroda, Lucas Kenjy Bazaglia

Gomes, Arianne Vellasco

Tavoni, Robinson

de Arruda Mancera, Paulo Fernando

Varalta, Najla

de Figueiredo Camargo, Rubens

Tipo

Artigo

Direito de acesso

Acesso aberto

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.