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

Research output: Chapter in Book/Report/Conference proceedingConference contribution

2 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 languageEnglish
Title of host publication2014 International Conference on Fractional Differentiation and Its Applications, ICFDA 2014
PublisherInstitute of Electrical and Electronics Engineers Inc.
ISBN (Electronic)9781479925919
DOIs
Publication statusPublished - 25 Nov 2014
Event2014 International Conference on Fractional Differentiation and Its Applications, ICFDA 2014 - Catania, Italy
Duration: 23 Jun 201425 Jun 2014

Conference

Conference2014 International Conference on Fractional Differentiation and Its Applications, ICFDA 2014
CountryItaly
CityCatania
Period23/06/1425/06/14

Fingerprint

Riemann-Liouville Derivative
Linear systems
Linear Systems
Caputo Derivative
Derivatives
System theory
Systems Theory
Transfer Function
Transfer functions
Derivative
Context
Framework

Cite this

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

On the 'walking dead' derivatives : Riemann-Liouville and Caputo. / Ortigueira, Manuel D.

2014 International Conference on Fractional Differentiation and Its Applications, ICFDA 2014. Institute of Electrical and Electronics Engineers Inc., 2014. 6967433.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

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Ortigueira MD. On the 'walking dead' derivatives: Riemann-Liouville and Caputo. In 2014 International Conference on Fractional Differentiation and Its Applications, ICFDA 2014. Institute of Electrical and Electronics Engineers Inc. 2014. 6967433 https://doi.org/10.1109/ICFDA.2014.6967433