Fractional line integral
Autor(a) principal: | |
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Data de Publicação: | 2021 |
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/10362/145955 |
Resumo: | Funding: The first author was supported by the Autonomous University of Mexico City (UACM) under the project PI-CCyT-2019-15. The work of the second author was partially funded by Portuguese National Funds through the FCT-Foundation for Science and Technology within the scope of the CTS Research Unit-Center of Technology and Systems/UNINOVA/FCT/NOVA, under the reference UIDB/00066/2020. Publisher Copyright: © 2021 by the authors. Licensee MDPI, Basel, Switzerland. |
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Fractional line integralFractional integralFractional line integralGrünwald–Letnikov fractional derivativeLiouville fractional derivativeMathematics(all)Funding: The first author was supported by the Autonomous University of Mexico City (UACM) under the project PI-CCyT-2019-15. The work of the second author was partially funded by Portuguese National Funds through the FCT-Foundation for Science and Technology within the scope of the CTS Research Unit-Center of Technology and Systems/UNINOVA/FCT/NOVA, under the reference UIDB/00066/2020. Publisher Copyright: © 2021 by the authors. Licensee MDPI, Basel, Switzerland.This paper proposed a definition of the fractional line integral, generalising the concept of the fractional definite integral. The proposal replicated the properties of the classic definite integral, namely the fundamental theorem of integral calculus. It was based on the concept of the fractional anti-derivative used to generalise the Barrow formula. To define the fractional line integral, the Grünwald–Letnikov and Liouville directional derivatives were introduced and their properties described. The integral was defined for a piecewise linear path first and, from it, for any regular curve.CTS - Centro de Tecnologia e SistemasDEE - Departamento de Engenharia Electrotécnica e de ComputadoresRUNBengochea, GabrielOrtigueira, Manuel2022-12-02T22:14:22Z2021-05-022021-05-02T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article11application/pdfhttp://hdl.handle.net/10362/145955eng2227-7390PURE: 45582039https://doi.org/10.3390/math9101150info: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:RCAAP2024-03-11T05:26:49Zoai:run.unl.pt:10362/145955Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-20T03:52:21.996977Repositório 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 |
Fractional line integral |
title |
Fractional line integral |
spellingShingle |
Fractional line integral Bengochea, Gabriel Fractional integral Fractional line integral Grünwald–Letnikov fractional derivative Liouville fractional derivative Mathematics(all) |
title_short |
Fractional line integral |
title_full |
Fractional line integral |
title_fullStr |
Fractional line integral |
title_full_unstemmed |
Fractional line integral |
title_sort |
Fractional line integral |
author |
Bengochea, Gabriel |
author_facet |
Bengochea, Gabriel Ortigueira, Manuel |
author_role |
author |
author2 |
Ortigueira, Manuel |
author2_role |
author |
dc.contributor.none.fl_str_mv |
CTS - Centro de Tecnologia e Sistemas DEE - Departamento de Engenharia Electrotécnica e de Computadores RUN |
dc.contributor.author.fl_str_mv |
Bengochea, Gabriel Ortigueira, Manuel |
dc.subject.por.fl_str_mv |
Fractional integral Fractional line integral Grünwald–Letnikov fractional derivative Liouville fractional derivative Mathematics(all) |
topic |
Fractional integral Fractional line integral Grünwald–Letnikov fractional derivative Liouville fractional derivative Mathematics(all) |
description |
Funding: The first author was supported by the Autonomous University of Mexico City (UACM) under the project PI-CCyT-2019-15. The work of the second author was partially funded by Portuguese National Funds through the FCT-Foundation for Science and Technology within the scope of the CTS Research Unit-Center of Technology and Systems/UNINOVA/FCT/NOVA, under the reference UIDB/00066/2020. Publisher Copyright: © 2021 by the authors. Licensee MDPI, Basel, Switzerland. |
publishDate |
2021 |
dc.date.none.fl_str_mv |
2021-05-02 2021-05-02T00:00:00Z 2022-12-02T22:14:22Z |
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/10362/145955 |
url |
http://hdl.handle.net/10362/145955 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
2227-7390 PURE: 45582039 https://doi.org/10.3390/math9101150 |
dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/openAccess |
eu_rights_str_mv |
openAccess |
dc.format.none.fl_str_mv |
11 application/pdf |
dc.source.none.fl_str_mv |
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Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação |
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RCAAP |
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RCAAP |
reponame_str |
Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
collection |
Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
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Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação |
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1799138115129966592 |