A critical analysis of the Caputo–Fabrizio operator

Manuel D. Ortigueira; J. Tenreiro  Machado

doi:10.1016/j.cnsns.2017.12.001

A critical analysis of the Caputo–Fabrizio operator

Manuel D. Ortigueira, J. Tenreiro Machado

Research output: Contribution to journal › Comment/debate › peer-review

78 Citations (Scopus)

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Abstract

This short note analyses the Caputo–Fabrizio operator. It is verified that it does not fit the usual concepts neither for fractional nor for integer derivative/integral.

Original language	English
Pages (from-to)	608-611
Number of pages	4
Journal	Communications In Nonlinear Science And Numerical Simulation
Volume	59
DOIs	https://doi.org/10.1016/j.cnsns.2017.12.001
Publication status	Published - 1 Jun 2018

Keywords

Caputo-Fabrizio operator
Fractional derivative

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10.1016/j.cnsns.2017.12.001

Caputo-Fabrizio operator

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title = "A critical analysis of the Caputo–Fabrizio operator",

abstract = "This short note analyses the Caputo–Fabrizio operator. It is verified that it does not fit the usual concepts neither for fractional nor for integer derivative/integral.",

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AU - Machado, J. Tenreiro

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AB - This short note analyses the Caputo–Fabrizio operator. It is verified that it does not fit the usual concepts neither for fractional nor for integer derivative/integral.

KW - Caputo-Fabrizio operator

KW - Fractional derivative

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U2 - 10.1016/j.cnsns.2017.12.001

DO - 10.1016/j.cnsns.2017.12.001

M3 - Comment/debate

AN - SCOPUS:85038841974

SN - 1007-5704

VL - 59

SP - 608

EP - 611

JO - Communications In Nonlinear Science And Numerical Simulation

JF - Communications In Nonlinear Science And Numerical Simulation

ER -

A critical analysis of the Caputo–Fabrizio operator

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Keywords

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