A remark on local fractional calculus and ordinary derivatives

Bibliographic Details
Main Author: Almeida, Ricardo
Publication Date: 2016
Other Authors: Guzowska, Małgorzata, Odzijewicz, Tatiana
Format: Article
Language: eng
Source: Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
Download full: http://hdl.handle.net/10773/16623
Summary: In this short note we present a new general definition of local fractional derivative, that depends on an unknown kernel. For some appropriate choices of the kernel we obtain some known cases. We establish a relation between this new concept and ordinary differentiation. Using such formula, most of the fundamental properties of the fractional derivative can be derived directly.
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spelling A remark on local fractional calculus and ordinary derivativesLocal fractional derivativeConformable derivativeIn this short note we present a new general definition of local fractional derivative, that depends on an unknown kernel. For some appropriate choices of the kernel we obtain some known cases. We establish a relation between this new concept and ordinary differentiation. Using such formula, most of the fundamental properties of the fractional derivative can be derived directly.De Gruyter Open2017-01-10T11:03:40Z2016-12-01T00:00:00Z2016-12info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10773/16623eng2391-545510.1515/math-2016-0104Almeida, RicardoGuzowska, MałgorzataOdzijewicz, Tatianainfo: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:RCAAP2024-05-06T03:59:10Zoai:ria.ua.pt:10773/16623Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireinfo@rcaap.ptopendoar:https://opendoar.ac.uk/repository/71602025-05-28T13:53:31.733547Repositórios 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 A remark on local fractional calculus and ordinary derivatives
title A remark on local fractional calculus and ordinary derivatives
spellingShingle A remark on local fractional calculus and ordinary derivatives
Almeida, Ricardo
Local fractional derivative
Conformable derivative
title_short A remark on local fractional calculus and ordinary derivatives
title_full A remark on local fractional calculus and ordinary derivatives
title_fullStr A remark on local fractional calculus and ordinary derivatives
title_full_unstemmed A remark on local fractional calculus and ordinary derivatives
title_sort A remark on local fractional calculus and ordinary derivatives
author Almeida, Ricardo
author_facet Almeida, Ricardo
Guzowska, Małgorzata
Odzijewicz, Tatiana
author_role author
author2 Guzowska, Małgorzata
Odzijewicz, Tatiana
author2_role author
author
dc.contributor.author.fl_str_mv Almeida, Ricardo
Guzowska, Małgorzata
Odzijewicz, Tatiana
dc.subject.por.fl_str_mv Local fractional derivative
Conformable derivative
topic Local fractional derivative
Conformable derivative
description In this short note we present a new general definition of local fractional derivative, that depends on an unknown kernel. For some appropriate choices of the kernel we obtain some known cases. We establish a relation between this new concept and ordinary differentiation. Using such formula, most of the fundamental properties of the fractional derivative can be derived directly.
publishDate 2016
dc.date.none.fl_str_mv 2016-12-01T00:00:00Z
2016-12
2017-01-10T11:03:40Z
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/10773/16623
url http://hdl.handle.net/10773/16623
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 2391-5455
10.1515/math-2016-0104
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 De Gruyter Open
publisher.none.fl_str_mv De Gruyter Open
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
instacron_str RCAAP
institution RCAAP
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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