Minimization problems for functionals depending on generalized proportional fractional derivatives

Bibliographic Details
Main Author: Almeida, Ricardo
Publication Date: 2022
Format: Article
Language: eng
Source: Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
Download full: http://hdl.handle.net/10773/35026
Summary: In this work we study variational problems, where ordinary derivatives are replaced by a generalized proportional fractional derivative. This fractional operator depends on a fixed parameter, acting as a weight over the state function and its first-order derivative. We consider the problem with and without boundary conditions, and with additional restrictions like isoperimetric and holonomic. Herglotz’s variational problem and when in presence of time delays are also considered
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spelling Minimization problems for functionals depending on generalized proportional fractional derivativesFractional calculusCalculus of variationsGeneralized proportional fractionalIn this work we study variational problems, where ordinary derivatives are replaced by a generalized proportional fractional derivative. This fractional operator depends on a fixed parameter, acting as a weight over the state function and its first-order derivative. We consider the problem with and without boundary conditions, and with additional restrictions like isoperimetric and holonomic. Herglotz’s variational problem and when in presence of time delays are also consideredMDPI2022-10-31T10:54:14Z2022-07-01T00:00:00Z2022-07info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10773/35026eng10.3390/fractalfract6070356Almeida, Ricardoinfo: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:RCAAP2024-05-06T04:40:16Zoai:ria.ua.pt:10773/35026Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireinfo@rcaap.ptopendoar:https://opendoar.ac.uk/repository/71602025-05-28T14:16:29.788014Repositórios 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 Minimization problems for functionals depending on generalized proportional fractional derivatives
title Minimization problems for functionals depending on generalized proportional fractional derivatives
spellingShingle Minimization problems for functionals depending on generalized proportional fractional derivatives
Almeida, Ricardo
Fractional calculus
Calculus of variations
Generalized proportional fractional
title_short Minimization problems for functionals depending on generalized proportional fractional derivatives
title_full Minimization problems for functionals depending on generalized proportional fractional derivatives
title_fullStr Minimization problems for functionals depending on generalized proportional fractional derivatives
title_full_unstemmed Minimization problems for functionals depending on generalized proportional fractional derivatives
title_sort Minimization problems for functionals depending on generalized proportional fractional derivatives
author Almeida, Ricardo
author_facet Almeida, Ricardo
author_role author
dc.contributor.author.fl_str_mv Almeida, Ricardo
dc.subject.por.fl_str_mv Fractional calculus
Calculus of variations
Generalized proportional fractional
topic Fractional calculus
Calculus of variations
Generalized proportional fractional
description In this work we study variational problems, where ordinary derivatives are replaced by a generalized proportional fractional derivative. This fractional operator depends on a fixed parameter, acting as a weight over the state function and its first-order derivative. We consider the problem with and without boundary conditions, and with additional restrictions like isoperimetric and holonomic. Herglotz’s variational problem and when in presence of time delays are also considered
publishDate 2022
dc.date.none.fl_str_mv 2022-10-31T10:54:14Z
2022-07-01T00:00:00Z
2022-07
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/10773/35026
url http://hdl.handle.net/10773/35026
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 10.3390/fractalfract6070356
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv MDPI
publisher.none.fl_str_mv MDPI
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
instacron:RCAAP
instname_str FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologia
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reponame_str Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
collection Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
repository.name.fl_str_mv Repositórios Científicos de Acesso Aberto de Portugal (RCAAP) - FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologia
repository.mail.fl_str_mv info@rcaap.pt
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