Fractional differentiation and its applications I - editorial
Autor(a) principal: | |
---|---|
Data de Publicação: | 2013 |
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/10400.22/23836 |
Resumo: | Fractional calculus (FC) was originated from a genial idea of L’Hopital, who wrote Leibniz a letter dated September 30th, 1695, asking about a particular definition of the derivative of order n = 1/2. FC means the theory of differentiation and integration of noninteger order and represents the generalization of the classical differential and integral calculus. Therefore, some of the properties of the fractional integral and derivatives differ from the classical ones in order to allow its adoption in a broader range of cases, which cannot be properly described by the classical integer-order calculus. FC is presently considered to b |
id |
RCAP_c0da7eb8bb0db16f23ad101041c57a81 |
---|---|
oai_identifier_str |
oai:recipp.ipp.pt:10400.22/23836 |
network_acronym_str |
RCAP |
network_name_str |
Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
repository_id_str |
7160 |
spelling |
Fractional differentiation and its applications I - editorialFractional calculusFractional calculus (FC) was originated from a genial idea of L’Hopital, who wrote Leibniz a letter dated September 30th, 1695, asking about a particular definition of the derivative of order n = 1/2. FC means the theory of differentiation and integration of noninteger order and represents the generalization of the classical differential and integral calculus. Therefore, some of the properties of the fractional integral and derivatives differ from the classical ones in order to allow its adoption in a broader range of cases, which cannot be properly described by the classical integer-order calculus. FC is presently considered to bElsevierRepositório Científico do Instituto Politécnico do PortoBaleanu, DumitruMachado, J. A.TenreiroChen, Wen20132025-01-01T00:00:00Z2013-01-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10400.22/23836eng10.1016/j.camwa.2013.06.006metadata only accessinfo: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:RCAAP2023-11-08T01:46:37Zoai:recipp.ipp.pt:10400.22/23836Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T21:26:55.400718Repositório 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 differentiation and its applications I - editorial |
title |
Fractional differentiation and its applications I - editorial |
spellingShingle |
Fractional differentiation and its applications I - editorial Baleanu, Dumitru Fractional calculus |
title_short |
Fractional differentiation and its applications I - editorial |
title_full |
Fractional differentiation and its applications I - editorial |
title_fullStr |
Fractional differentiation and its applications I - editorial |
title_full_unstemmed |
Fractional differentiation and its applications I - editorial |
title_sort |
Fractional differentiation and its applications I - editorial |
author |
Baleanu, Dumitru |
author_facet |
Baleanu, Dumitru Machado, J. A.Tenreiro Chen, Wen |
author_role |
author |
author2 |
Machado, J. A.Tenreiro Chen, Wen |
author2_role |
author author |
dc.contributor.none.fl_str_mv |
Repositório Científico do Instituto Politécnico do Porto |
dc.contributor.author.fl_str_mv |
Baleanu, Dumitru Machado, J. A.Tenreiro Chen, Wen |
dc.subject.por.fl_str_mv |
Fractional calculus |
topic |
Fractional calculus |
description |
Fractional calculus (FC) was originated from a genial idea of L’Hopital, who wrote Leibniz a letter dated September 30th, 1695, asking about a particular definition of the derivative of order n = 1/2. FC means the theory of differentiation and integration of noninteger order and represents the generalization of the classical differential and integral calculus. Therefore, some of the properties of the fractional integral and derivatives differ from the classical ones in order to allow its adoption in a broader range of cases, which cannot be properly described by the classical integer-order calculus. FC is presently considered to b |
publishDate |
2013 |
dc.date.none.fl_str_mv |
2013 2013-01-01T00:00:00Z 2025-01-01T00:00:00Z |
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/10400.22/23836 |
url |
http://hdl.handle.net/10400.22/23836 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
10.1016/j.camwa.2013.06.006 |
dc.rights.driver.fl_str_mv |
metadata only access info:eu-repo/semantics/openAccess |
rights_invalid_str_mv |
metadata only access |
eu_rights_str_mv |
openAccess |
dc.format.none.fl_str_mv |
application/pdf |
dc.publisher.none.fl_str_mv |
Elsevier |
publisher.none.fl_str_mv |
Elsevier |
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 |
repository.mail.fl_str_mv |
|
_version_ |
1799134151027195904 |