Unexpected behavior of Caputo fractional derivative

dc.contributorUniversidade Estadual Paulista (Unesp)
dc.date.accessioned2018-12-11T17:14:07Z
dc.date.available2018-12-11T17:14:07Z
dc.date.created2018-12-11T17:14:07Z
dc.date.issued2017-09-01
dc.identifierComputational and Applied Mathematics, v. 36, n. 3, p. 1173-1183, 2017.
dc.identifier1807-0302
dc.identifier0101-8205
dc.identifierhttp://hdl.handle.net/11449/175076
dc.identifier10.1007/s40314-015-0301-9
dc.identifier2-s2.0-85028007060
dc.identifier2-s2.0-85028007060.pdf
dc.description.abstractThis 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.
dc.languageeng
dc.relationComputational and Applied Mathematics
dc.relation0,272
dc.rightsAcesso aberto
dc.sourceScopus
dc.subjectCaputo fractional derivative
dc.subjectFractional calculus
dc.subjectFractional harmonic oscillator
dc.subjectFractional logistic equation
dc.subjectFractional modeling
dc.titleUnexpected behavior of Caputo fractional derivative
dc.typeArtículos de revistas


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