On the 'walking dead' derivatives: Riemann-Liouville and Caputo

Manuel D. Ortigueira

doi:10.1109/ICFDA.2014.6967433

On the 'walking dead' derivatives: Riemann-Liouville and Caputo

Manuel D. Ortigueira

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

10 Citations (Scopus)

Abstract

The Riemann-Liouville and Caputo derivatives are analysed in the context of the linear system theory. For it an analysis framework is presented. It is shown that those derivatives are unsuitable for studying the linear systems and in particular define transfer function.

Original language	English
Title of host publication	2014 International Conference on Fractional Differentiation and Its Applications, ICFDA 2014
Publisher	Institute of Electrical and Electronics Engineers (IEEE)
ISBN (Electronic)	9781479925919
DOIs	https://doi.org/10.1109/ICFDA.2014.6967433
Publication status	Published - 25 Nov 2014
Event	2014 International Conference on Fractional Differentiation and Its Applications, ICFDA 2014 - Catania, Italy Duration: 23 Jun 2014 → 25 Jun 2014

Conference

Conference	2014 International Conference on Fractional Differentiation and Its Applications, ICFDA 2014
Country/Territory	Italy
City	Catania
Period	23/06/14 → 25/06/14

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10.1109/ICFDA.2014.6967433

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title = "On the 'walking dead' derivatives: Riemann-Liouville and Caputo",

abstract = "The Riemann-Liouville and Caputo derivatives are analysed in the context of the linear system theory. For it an analysis framework is presented. It is shown that those derivatives are unsuitable for studying the linear systems and in particular define transfer function.",

author = "Ortigueira, {Manuel D.}",

note = "This work was partially funded by National Funds through the Foundation for Science and Technology of Portugal, under the project PEst-OE/EEI/UI0066/2011.; 2014 International Conference on Fractional Differentiation and Its Applications, ICFDA 2014 ; Conference date: 23-06-2014 Through 25-06-2014",

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Ortigueira, MD 2014, On the 'walking dead' derivatives: Riemann-Liouville and Caputo. in 2014 International Conference on Fractional Differentiation and Its Applications, ICFDA 2014., 6967433, Institute of Electrical and Electronics Engineers (IEEE), 2014 International Conference on Fractional Differentiation and Its Applications, ICFDA 2014, Catania, Italy, 23/06/14. https://doi.org/10.1109/ICFDA.2014.6967433

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T1 - On the 'walking dead' derivatives

T2 - 2014 International Conference on Fractional Differentiation and Its Applications, ICFDA 2014

AU - Ortigueira, Manuel D.

N1 - This work was partially funded by National Funds through the Foundation for Science and Technology of Portugal, under the project PEst-OE/EEI/UI0066/2011.

PY - 2014/11/25

Y1 - 2014/11/25

N2 - The Riemann-Liouville and Caputo derivatives are analysed in the context of the linear system theory. For it an analysis framework is presented. It is shown that those derivatives are unsuitable for studying the linear systems and in particular define transfer function.

AB - The Riemann-Liouville and Caputo derivatives are analysed in the context of the linear system theory. For it an analysis framework is presented. It is shown that those derivatives are unsuitable for studying the linear systems and in particular define transfer function.

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U2 - 10.1109/ICFDA.2014.6967433

DO - 10.1109/ICFDA.2014.6967433

M3 - Conference contribution

AN - SCOPUS:84918525934

BT - 2014 International Conference on Fractional Differentiation and Its Applications, ICFDA 2014

PB - Institute of Electrical and Electronics Engineers (IEEE)

Y2 - 23 June 2014 through 25 June 2014

ER -

On the 'walking dead' derivatives: Riemann-Liouville and Caputo

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