An approximation formula for the Katugampola integral

Detalhes bibliográficos
Autor(a) principal: Almeida, Ricardo
Data de Publicação: 2016
Outros Autores: Bastos, Nuno R.O.
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/10773/15021
Resumo: The objective of this paper is to present an approximation formula for the Katugampola fractional integral, that allows us to solve fractional problems with dependence on this type of fractional operator. The formula only depends on first-order derivatives, and thus converts the fractional problem into a standard one. With some examples, we show the accuracy of the method, and then we present the utility of the method by solving a fractional integral equation.
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spelling An approximation formula for the Katugampola integralFractional calculusKatugampola fractional integralNumerical methodsThe objective of this paper is to present an approximation formula for the Katugampola fractional integral, that allows us to solve fractional problems with dependence on this type of fractional operator. The formula only depends on first-order derivatives, and thus converts the fractional problem into a standard one. With some examples, we show the accuracy of the method, and then we present the utility of the method by solving a fractional integral equation.ILIRIAS Research Institute2016-01-11T10:18:27Z2016-01-01T00:00:00Z2016-01-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10773/15021eng2217-3412Almeida, RicardoBastos, Nuno R.O.info: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:RCAAP2024-02-22T11:27:47Zoai:ria.ua.pt:10773/15021Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-20T02:50:30.159723Repositório 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 An approximation formula for the Katugampola integral
title An approximation formula for the Katugampola integral
spellingShingle An approximation formula for the Katugampola integral
Almeida, Ricardo
Fractional calculus
Katugampola fractional integral
Numerical methods
title_short An approximation formula for the Katugampola integral
title_full An approximation formula for the Katugampola integral
title_fullStr An approximation formula for the Katugampola integral
title_full_unstemmed An approximation formula for the Katugampola integral
title_sort An approximation formula for the Katugampola integral
author Almeida, Ricardo
author_facet Almeida, Ricardo
Bastos, Nuno R.O.
author_role author
author2 Bastos, Nuno R.O.
author2_role author
dc.contributor.author.fl_str_mv Almeida, Ricardo
Bastos, Nuno R.O.
dc.subject.por.fl_str_mv Fractional calculus
Katugampola fractional integral
Numerical methods
topic Fractional calculus
Katugampola fractional integral
Numerical methods
description The objective of this paper is to present an approximation formula for the Katugampola fractional integral, that allows us to solve fractional problems with dependence on this type of fractional operator. The formula only depends on first-order derivatives, and thus converts the fractional problem into a standard one. With some examples, we show the accuracy of the method, and then we present the utility of the method by solving a fractional integral equation.
publishDate 2016
dc.date.none.fl_str_mv 2016-01-11T10:18:27Z
2016-01-01T00:00:00Z
2016-01-01
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/10773/15021
url http://hdl.handle.net/10773/15021
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 2217-3412
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 ILIRIAS Research Institute
publisher.none.fl_str_mv ILIRIAS Research Institute
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
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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
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