On the Fractional Derivative Duality in Some Transforms
Autor(a) principal: | |
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Data de Publicação: | 2023 |
Outros Autores: | |
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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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 |
instacron_str |
RCAAP |
institution |
RCAAP |
reponame_str |
Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
collection |
Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
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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1799138175921160192 |