Fractional derivatives: The perspective of system theory

Bibliographic Details
Main Author: Ortigueira, Manuel Duarte
Publication Date: 2019
Other Authors: Machado, José Tenreiro
Format: Article
Language: eng
Source: Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
Download full: https://doi.org/10.3390/math7020150
Summary: This work was funded by Portuguese National Funds through the FCT-Foundation for Science and Technology under the project PEst-UID/EEA/00066/2013.
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spelling Fractional derivatives: The perspective of system theoryFractional anti-derivativesFractional calculusFractional derivativesFractional integralsFractional operatorsMathematics(all)This work was funded by Portuguese National Funds through the FCT-Foundation for Science and Technology under the project PEst-UID/EEA/00066/2013.This paper addresses the present day problem of multiple proposals for operators under the umbrella of "fractional derivatives". Several papers demonstrated that various of those "novel" definitions are incorrect. Here the classical system theory is applied to develop a unified framework to clarify this important topic in Fractional Calculus.DEE2010-B2 SistemasCTS - Centro de Tecnologia e SistemasUNINOVA-Instituto de Desenvolvimento de Novas TecnologiasDEE - Departamento de Engenharia Electrotécnica e de ComputadoresRUNOrtigueira, Manuel DuarteMachado, José Tenreiro2019-09-04T22:41:44Z2019-02-052019-02-05T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttps://doi.org/10.3390/math7020150engPURE: 13318697http://www.scopus.com/inward/record.url?scp=85061103822&partnerID=8YFLogxKhttps://doi.org/10.3390/math7020150info: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:RCAAP2024-05-27T01:38:33Zoai:run.unl.pt:10362/80181Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireinfo@rcaap.ptopendoar:https://opendoar.ac.uk/repository/71602025-05-28T17:12:02.244360Repositórios 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 Fractional derivatives: The perspective of system theory
title Fractional derivatives: The perspective of system theory
spellingShingle Fractional derivatives: The perspective of system theory
Ortigueira, Manuel Duarte
Fractional anti-derivatives
Fractional calculus
Fractional derivatives
Fractional integrals
Fractional operators
Mathematics(all)
title_short Fractional derivatives: The perspective of system theory
title_full Fractional derivatives: The perspective of system theory
title_fullStr Fractional derivatives: The perspective of system theory
title_full_unstemmed Fractional derivatives: The perspective of system theory
title_sort Fractional derivatives: The perspective of system theory
author Ortigueira, Manuel Duarte
author_facet Ortigueira, Manuel Duarte
Machado, José Tenreiro
author_role author
author2 Machado, José Tenreiro
author2_role author
dc.contributor.none.fl_str_mv DEE2010-B2 Sistemas
CTS - Centro de Tecnologia e Sistemas
UNINOVA-Instituto de Desenvolvimento de Novas Tecnologias
DEE - Departamento de Engenharia Electrotécnica e de Computadores
RUN
dc.contributor.author.fl_str_mv Ortigueira, Manuel Duarte
Machado, José Tenreiro
dc.subject.por.fl_str_mv Fractional anti-derivatives
Fractional calculus
Fractional derivatives
Fractional integrals
Fractional operators
Mathematics(all)
topic Fractional anti-derivatives
Fractional calculus
Fractional derivatives
Fractional integrals
Fractional operators
Mathematics(all)
description This work was funded by Portuguese National Funds through the FCT-Foundation for Science and Technology under the project PEst-UID/EEA/00066/2013.
publishDate 2019
dc.date.none.fl_str_mv 2019-09-04T22:41:44Z
2019-02-05
2019-02-05T00:00:00Z
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 https://doi.org/10.3390/math7020150
url https://doi.org/10.3390/math7020150
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv PURE: 13318697
http://www.scopus.com/inward/record.url?scp=85061103822&partnerID=8YFLogxK
https://doi.org/10.3390/math7020150
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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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repository.mail.fl_str_mv info@rcaap.pt
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