Fractional line integral

Detalhes bibliográficos
Autor(a) principal: Bengochea, Gabriel
Data de Publicação: 2021
Outros Autores: Ortigueira, Manuel
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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spelling 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
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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
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