New convolutions associated with the Mellin transform and their applications in integral equations

Detalhes bibliográficos
Autor(a) principal: Castro, L. P.
Data de Publicação: 2020
Outros Autores: Silva, A. S., Tuan, N. M.
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/10773/31020
Resumo: In this paper, we introduce two new convolutions associated with the Mellin transform which exhibit factorization properties upon the use of certain weight functions. This is applied to the solvability analysis of classes of integral equations. In particular, we present sufficient conditions for the solvability of an integral equation and a system of integral equations of convolution type.
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spelling New convolutions associated with the Mellin transform and their applications in integral equationsConvolutionMellin transformConvolution operatorFactorizationIntegral equations of the convolution typeIn this paper, we introduce two new convolutions associated with the Mellin transform which exhibit factorization properties upon the use of certain weight functions. This is applied to the solvability analysis of classes of integral equations. In particular, we present sufficient conditions for the solvability of an integral equation and a system of integral equations of convolution type.Element2021-03-25T12:58:16Z2020-01-01T00:00:00Z2020info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10773/31020eng1848-597910.7153/jca-2020-16-08Castro, L. P.Silva, A. S.Tuan, N. M.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:RCAAP2024-02-22T11:59:56Zoai:ria.ua.pt:10773/31020Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-20T03:03:00.881085Repositório 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 New convolutions associated with the Mellin transform and their applications in integral equations
title New convolutions associated with the Mellin transform and their applications in integral equations
spellingShingle New convolutions associated with the Mellin transform and their applications in integral equations
Castro, L. P.
Convolution
Mellin transform
Convolution operator
Factorization
Integral equations of the convolution type
title_short New convolutions associated with the Mellin transform and their applications in integral equations
title_full New convolutions associated with the Mellin transform and their applications in integral equations
title_fullStr New convolutions associated with the Mellin transform and their applications in integral equations
title_full_unstemmed New convolutions associated with the Mellin transform and their applications in integral equations
title_sort New convolutions associated with the Mellin transform and their applications in integral equations
author Castro, L. P.
author_facet Castro, L. P.
Silva, A. S.
Tuan, N. M.
author_role author
author2 Silva, A. S.
Tuan, N. M.
author2_role author
author
dc.contributor.author.fl_str_mv Castro, L. P.
Silva, A. S.
Tuan, N. M.
dc.subject.por.fl_str_mv Convolution
Mellin transform
Convolution operator
Factorization
Integral equations of the convolution type
topic Convolution
Mellin transform
Convolution operator
Factorization
Integral equations of the convolution type
description In this paper, we introduce two new convolutions associated with the Mellin transform which exhibit factorization properties upon the use of certain weight functions. This is applied to the solvability analysis of classes of integral equations. In particular, we present sufficient conditions for the solvability of an integral equation and a system of integral equations of convolution type.
publishDate 2020
dc.date.none.fl_str_mv 2020-01-01T00:00:00Z
2020
2021-03-25T12:58:16Z
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/10773/31020
url http://hdl.handle.net/10773/31020
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 1848-5979
10.7153/jca-2020-16-08
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eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
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instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
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