Entropy Analysis of Fractional Derivatives and Their Approximation

Bibliographic Details
Main Author: Machado, J. A. Tenreiro
Publication Date: 2012
Format: Article
Language: eng
Source: Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
Download full: http://hdl.handle.net/10400.22/13130
Summary: Fractional derivatives (FDs) need to be calculated using series or rational fractions. The effect of such approximations are usually analysed by means of the frequency or the time responses. This paper takes advantage of a probabilistic interpretation of FDs and adopts the Shannon entropy for assessing the truncation effect produced by the approximations.
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spelling Entropy Analysis of Fractional Derivatives and Their ApproximationProbabilistic interpretationEntropyFractional derivativesFractional calculusFractional derivatives (FDs) need to be calculated using series or rational fractions. The effect of such approximations are usually analysed by means of the frequency or the time responses. This paper takes advantage of a probabilistic interpretation of FDs and adopts the Shannon entropy for assessing the truncation effect produced by the approximations.REPOSITÓRIO P.PORTOMachado, J. A. Tenreiro2019-03-26T11:44:58Z20122012-01-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10400.22/13130eng2164−645710.5890/JAND.2012.03.001info:eu-repo/semantics/openAccessreponame:Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)instname:FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologiainstacron:RCAAP2025-04-02T02:49:29Zoai:recipp.ipp.pt:10400.22/13130Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireinfo@rcaap.ptopendoar:https://opendoar.ac.uk/repository/71602025-05-29T00:24:38.435061Repositórios Científicos de Acesso Aberto de Portugal (RCAAP) - FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologiafalse
dc.title.none.fl_str_mv Entropy Analysis of Fractional Derivatives and Their Approximation
title Entropy Analysis of Fractional Derivatives and Their Approximation
spellingShingle Entropy Analysis of Fractional Derivatives and Their Approximation
Machado, J. A. Tenreiro
Probabilistic interpretation
Entropy
Fractional derivatives
Fractional calculus
title_short Entropy Analysis of Fractional Derivatives and Their Approximation
title_full Entropy Analysis of Fractional Derivatives and Their Approximation
title_fullStr Entropy Analysis of Fractional Derivatives and Their Approximation
title_full_unstemmed Entropy Analysis of Fractional Derivatives and Their Approximation
title_sort Entropy Analysis of Fractional Derivatives and Their Approximation
author Machado, J. A. Tenreiro
author_facet Machado, J. A. Tenreiro
author_role author
dc.contributor.none.fl_str_mv REPOSITÓRIO P.PORTO
dc.contributor.author.fl_str_mv Machado, J. A. Tenreiro
dc.subject.por.fl_str_mv Probabilistic interpretation
Entropy
Fractional derivatives
Fractional calculus
topic Probabilistic interpretation
Entropy
Fractional derivatives
Fractional calculus
description Fractional derivatives (FDs) need to be calculated using series or rational fractions. The effect of such approximations are usually analysed by means of the frequency or the time responses. This paper takes advantage of a probabilistic interpretation of FDs and adopts the Shannon entropy for assessing the truncation effect produced by the approximations.
publishDate 2012
dc.date.none.fl_str_mv 2012
2012-01-01T00:00:00Z
2019-03-26T11:44:58Z
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://hdl.handle.net/10400.22/13130
url http://hdl.handle.net/10400.22/13130
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 2164−6457
10.5890/JAND.2012.03.001
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.source.none.fl_str_mv reponame:Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
instname:FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologia
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instname_str FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologia
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repository.name.fl_str_mv Repositórios Científicos de Acesso Aberto de Portugal (RCAAP) - FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologia
repository.mail.fl_str_mv info@rcaap.pt
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