On the Fractional Derivative Duality in Some Transforms

Detalhes bibliográficos
Autor(a) principal: Ortigueira, Manuel Duarte
Data de Publicação: 2023
Outros Autores: Bengochea, Gabriel
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/10362/163980
Resumo: The first author was partially funded by national funds through the Foundation for Science and Technology of Portugal under the projects UIDB/00066/2020. Publisher Copyright: © 2023 by the authors.
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spelling On the Fractional Derivative Duality in Some TransformsFourier transformHadamard derivativeLaplace transformLiouville derivativeMellin transformscale derivativeZ transformComputer Science (miscellaneous)Mathematics(all)Engineering (miscellaneous)The first author was partially funded by national funds through the Foundation for Science and Technology of Portugal under the projects UIDB/00066/2020. Publisher Copyright: © 2023 by the authors.Duality is one of the most interesting properties of the Laplace and Fourier transforms associated with the integer-order derivative. Here, we will generalize it for fractional derivatives and extend the results to the Mellin, Z and discrete-time Fourier transforms. The scale and nabla derivatives are used. Some consequences are described.CTS - Centro de Tecnologia e SistemasUNINOVA-Instituto de Desenvolvimento de Novas TecnologiasRUNOrtigueira, Manuel DuarteBengochea, Gabriel2024-02-22T23:52:57Z2023-10-272023-10-27T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article15application/pdfhttp://hdl.handle.net/10362/163980eng2227-7390PURE: 83890871https://doi.org/10.3390/math11214464info:eu-repo/semantics/openAccessreponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãoinstacron:RCAAP2024-03-11T05:50:01Zoai:run.unl.pt:10362/163980Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-20T03:59:58.378973Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãofalse
dc.title.none.fl_str_mv On the Fractional Derivative Duality in Some Transforms
title On the Fractional Derivative Duality in Some Transforms
spellingShingle On the Fractional Derivative Duality in Some Transforms
Ortigueira, Manuel Duarte
Fourier transform
Hadamard derivative
Laplace transform
Liouville derivative
Mellin transform
scale derivative
Z transform
Computer Science (miscellaneous)
Mathematics(all)
Engineering (miscellaneous)
title_short On the Fractional Derivative Duality in Some Transforms
title_full On the Fractional Derivative Duality in Some Transforms
title_fullStr On the Fractional Derivative Duality in Some Transforms
title_full_unstemmed On the Fractional Derivative Duality in Some Transforms
title_sort On the Fractional Derivative Duality in Some Transforms
author Ortigueira, Manuel Duarte
author_facet Ortigueira, Manuel Duarte
Bengochea, Gabriel
author_role author
author2 Bengochea, Gabriel
author2_role author
dc.contributor.none.fl_str_mv CTS - Centro de Tecnologia e Sistemas
UNINOVA-Instituto de Desenvolvimento de Novas Tecnologias
RUN
dc.contributor.author.fl_str_mv Ortigueira, Manuel Duarte
Bengochea, Gabriel
dc.subject.por.fl_str_mv Fourier transform
Hadamard derivative
Laplace transform
Liouville derivative
Mellin transform
scale derivative
Z transform
Computer Science (miscellaneous)
Mathematics(all)
Engineering (miscellaneous)
topic Fourier transform
Hadamard derivative
Laplace transform
Liouville derivative
Mellin transform
scale derivative
Z transform
Computer Science (miscellaneous)
Mathematics(all)
Engineering (miscellaneous)
description The first author was partially funded by national funds through the Foundation for Science and Technology of Portugal under the projects UIDB/00066/2020. Publisher Copyright: © 2023 by the authors.
publishDate 2023
dc.date.none.fl_str_mv 2023-10-27
2023-10-27T00:00:00Z
2024-02-22T23:52:57Z
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/10362/163980
url http://hdl.handle.net/10362/163980
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 2227-7390
PURE: 83890871
https://doi.org/10.3390/math11214464
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv 15
application/pdf
dc.source.none.fl_str_mv reponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
instacron:RCAAP
instname_str Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
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repository.name.fl_str_mv Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
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