Unexpected behavior of Caputo fractional derivative

Unexpected behavior of Caputo fractional derivative

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 discusse...

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Veröffentlicht in:Computational & applied mathematics 2017-09, Vol.36 (3), p.1173-1183
Hauptverfasser: Kuroda, Lucas Kenjy Bazaglia, Gomes, Arianne Vellasco, Tavoni, Robinson, de Arruda Mancera, Paulo Fernando, Varalta, Najla, de Figueiredo Camargo, Rubens
Format: Artikel
Sprache:eng
Schlagworte:
Applications of Mathematics
Applied physics
Computational mathematics
Computational Mathematics and Numerical Analysis
Fractional calculus
Mathematical analysis
Mathematical Applications in Computer Science
Mathematical Applications in the Physical Sciences
Mathematical models
Mathematics
Mathematics and Statistics
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Zusammenfassung: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.
ISSN:0101-8205
2238-3603
1807-0302
DOI:10.1007/s40314-015-0301-9