Solution to the Bessel differential equation with interactive fuzzy boundary conditions
Autor(a) principal: | |
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Data de Publicação: | 2022 |
Outros Autores: | , , |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Repositório Institucional da UNESP |
Texto Completo: | http://dx.doi.org/10.1007/s40314-021-01695-0 http://hdl.handle.net/11449/222936 |
Resumo: | In this paper we deal with the fuzzy boundary value problem of the Bessel differential equation, whose boundary conditions are uncertain and given by linearly interactive fuzzy numbers. The Bessel differential equation can be considered in order to model wave and heat propagation problems. The fuzzy solution is obtained from the sup-J extension principle. We show that the sup-J extension provides proper fuzzy solution for the Bessel differential equation. In addition, we study the advantages of the proposed approach with others well known methods, such as the solutions based on the Zadeh extension principle and the solutions derived from the generalized Hukuhara derivative. |
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Repositório Institucional da UNESP |
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Solution to the Bessel differential equation with interactive fuzzy boundary conditionsBessel differential equationFuzzy boundary value problemgH-differentiabilityLinearly interactive fuzzy numbersSup-J extension principleZadeh extension principleIn this paper we deal with the fuzzy boundary value problem of the Bessel differential equation, whose boundary conditions are uncertain and given by linearly interactive fuzzy numbers. The Bessel differential equation can be considered in order to model wave and heat propagation problems. The fuzzy solution is obtained from the sup-J extension principle. We show that the sup-J extension provides proper fuzzy solution for the Bessel differential equation. In addition, we study the advantages of the proposed approach with others well known methods, such as the solutions based on the Zadeh extension principle and the solutions derived from the generalized Hukuhara derivative.Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)Center of Basic Science Teaching for Engineering University Austral of ChileDepartment of Mathematics São Paulo State UniversityDepartment of Applied Mathematics University of CampinasIlum School of Science Brazilian Center for Research in Energy and MaterialsDepartment of Mathematics São Paulo State UniversityFAPESP: 2018/10946-2CNPq: 306546/2017-5University Austral of ChileUniversidade Estadual Paulista (UNESP)Universidade Estadual de Campinas (UNICAMP)Brazilian Center for Research in Energy and MaterialsSánchez, Daniel EduardoWasques, Vinícius Francisco [UNESP]Esmi, Estevãode Barros, Laécio Carvalho2022-04-28T19:47:40Z2022-04-28T19:47:40Z2022-02-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articlehttp://dx.doi.org/10.1007/s40314-021-01695-0Computational and Applied Mathematics, v. 41, n. 1, 2022.1807-03022238-3603http://hdl.handle.net/11449/22293610.1007/s40314-021-01695-02-s2.0-85120044396Scopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengComputational and Applied Mathematics231815info:eu-repo/semantics/openAccess2023-01-11T19:22:21Zoai:repositorio.unesp.br:11449/222936Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-08-05T17:55:08.997195Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false |
dc.title.none.fl_str_mv |
Solution to the Bessel differential equation with interactive fuzzy boundary conditions |
title |
Solution to the Bessel differential equation with interactive fuzzy boundary conditions |
spellingShingle |
Solution to the Bessel differential equation with interactive fuzzy boundary conditions Sánchez, Daniel Eduardo Bessel differential equation Fuzzy boundary value problem gH-differentiability Linearly interactive fuzzy numbers Sup-J extension principle Zadeh extension principle |
title_short |
Solution to the Bessel differential equation with interactive fuzzy boundary conditions |
title_full |
Solution to the Bessel differential equation with interactive fuzzy boundary conditions |
title_fullStr |
Solution to the Bessel differential equation with interactive fuzzy boundary conditions |
title_full_unstemmed |
Solution to the Bessel differential equation with interactive fuzzy boundary conditions |
title_sort |
Solution to the Bessel differential equation with interactive fuzzy boundary conditions |
author |
Sánchez, Daniel Eduardo |
author_facet |
Sánchez, Daniel Eduardo Wasques, Vinícius Francisco [UNESP] Esmi, Estevão de Barros, Laécio Carvalho |
author_role |
author |
author2 |
Wasques, Vinícius Francisco [UNESP] Esmi, Estevão de Barros, Laécio Carvalho |
author2_role |
author author author |
dc.contributor.none.fl_str_mv |
University Austral of Chile Universidade Estadual Paulista (UNESP) Universidade Estadual de Campinas (UNICAMP) Brazilian Center for Research in Energy and Materials |
dc.contributor.author.fl_str_mv |
Sánchez, Daniel Eduardo Wasques, Vinícius Francisco [UNESP] Esmi, Estevão de Barros, Laécio Carvalho |
dc.subject.por.fl_str_mv |
Bessel differential equation Fuzzy boundary value problem gH-differentiability Linearly interactive fuzzy numbers Sup-J extension principle Zadeh extension principle |
topic |
Bessel differential equation Fuzzy boundary value problem gH-differentiability Linearly interactive fuzzy numbers Sup-J extension principle Zadeh extension principle |
description |
In this paper we deal with the fuzzy boundary value problem of the Bessel differential equation, whose boundary conditions are uncertain and given by linearly interactive fuzzy numbers. The Bessel differential equation can be considered in order to model wave and heat propagation problems. The fuzzy solution is obtained from the sup-J extension principle. We show that the sup-J extension provides proper fuzzy solution for the Bessel differential equation. In addition, we study the advantages of the proposed approach with others well known methods, such as the solutions based on the Zadeh extension principle and the solutions derived from the generalized Hukuhara derivative. |
publishDate |
2022 |
dc.date.none.fl_str_mv |
2022-04-28T19:47:40Z 2022-04-28T19:47:40Z 2022-02-01 |
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://dx.doi.org/10.1007/s40314-021-01695-0 Computational and Applied Mathematics, v. 41, n. 1, 2022. 1807-0302 2238-3603 http://hdl.handle.net/11449/222936 10.1007/s40314-021-01695-0 2-s2.0-85120044396 |
url |
http://dx.doi.org/10.1007/s40314-021-01695-0 http://hdl.handle.net/11449/222936 |
identifier_str_mv |
Computational and Applied Mathematics, v. 41, n. 1, 2022. 1807-0302 2238-3603 10.1007/s40314-021-01695-0 2-s2.0-85120044396 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
Computational and Applied Mathematics 231815 |
dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/openAccess |
eu_rights_str_mv |
openAccess |
dc.source.none.fl_str_mv |
Scopus reponame:Repositório Institucional da UNESP instname:Universidade Estadual Paulista (UNESP) instacron:UNESP |
instname_str |
Universidade Estadual Paulista (UNESP) |
instacron_str |
UNESP |
institution |
UNESP |
reponame_str |
Repositório Institucional da UNESP |
collection |
Repositório Institucional da UNESP |
repository.name.fl_str_mv |
Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP) |
repository.mail.fl_str_mv |
|
_version_ |
1808128874924474368 |