Random differential operational calculus: theory and applications

Detalhes bibliográficos
Autor(a) principal: Villafuerte, L.
Data de Publicação: 2010
Outros Autores: Braumann, Carlos A., Cortés, J.-C., Jódar, L.
Tipo de documento: Artigo
Idioma: por
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/10174/12687
https://doi.org/10.1016/j.camwa.2009.08.061
Resumo: In this article, we obtain a product rule and a chain rule for mean square derivatives. An application of the chain rule to the mean square solution of random differential equations is shown. However, to achieve such mean square differentiation rules, fourth order properties were needed and, therefore, we first studied a mean fourth order differential and integral calculus. Results are applied to solve random linear variable coefficient differential problems.
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spelling Random differential operational calculus: theory and applicationsrandom differential equationmean square calculusmean fourth calculusrandom chain ruleIn this article, we obtain a product rule and a chain rule for mean square derivatives. An application of the chain rule to the mean square solution of random differential equations is shown. However, to achieve such mean square differentiation rules, fourth order properties were needed and, therefore, we first studied a mean fourth order differential and integral calculus. Results are applied to solve random linear variable coefficient differential problems.Elsevier2015-02-19T16:45:35Z2015-02-192010-01-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articlehttp://hdl.handle.net/10174/12687http://hdl.handle.net/10174/12687https://doi.org/10.1016/j.camwa.2009.08.061porVillafuerte, L. ; Braumann, C. A. ; Cortés ; J.-C., Jódar, L. (2010). Random differential operational calculus: Theory and applications. Computers & Mathematics with Applications 59: 115-125MAt - Publicações - Artigos em Revistas Internacionais com Revisão Científicalaura.villafuerte@unach.mxbraumann@uevora.ptjccortes@mat.upv.esljodar@imm.upv.es340Villafuerte, L.Braumann, Carlos A.Cortés, J.-C.Jódar, L.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:RCAAP2024-01-03T18:57:39Zoai:dspace.uevora.pt:10174/12687Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-20T01:06:18.862567Repositório 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 Random differential operational calculus: theory and applications
title Random differential operational calculus: theory and applications
spellingShingle Random differential operational calculus: theory and applications
Villafuerte, L.
random differential equation
mean square calculus
mean fourth calculus
random chain rule
title_short Random differential operational calculus: theory and applications
title_full Random differential operational calculus: theory and applications
title_fullStr Random differential operational calculus: theory and applications
title_full_unstemmed Random differential operational calculus: theory and applications
title_sort Random differential operational calculus: theory and applications
author Villafuerte, L.
author_facet Villafuerte, L.
Braumann, Carlos A.
Cortés, J.-C.
Jódar, L.
author_role author
author2 Braumann, Carlos A.
Cortés, J.-C.
Jódar, L.
author2_role author
author
author
dc.contributor.author.fl_str_mv Villafuerte, L.
Braumann, Carlos A.
Cortés, J.-C.
Jódar, L.
dc.subject.por.fl_str_mv random differential equation
mean square calculus
mean fourth calculus
random chain rule
topic random differential equation
mean square calculus
mean fourth calculus
random chain rule
description In this article, we obtain a product rule and a chain rule for mean square derivatives. An application of the chain rule to the mean square solution of random differential equations is shown. However, to achieve such mean square differentiation rules, fourth order properties were needed and, therefore, we first studied a mean fourth order differential and integral calculus. Results are applied to solve random linear variable coefficient differential problems.
publishDate 2010
dc.date.none.fl_str_mv 2010-01-01T00:00:00Z
2015-02-19T16:45:35Z
2015-02-19
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/10174/12687
http://hdl.handle.net/10174/12687
https://doi.org/10.1016/j.camwa.2009.08.061
url http://hdl.handle.net/10174/12687
https://doi.org/10.1016/j.camwa.2009.08.061
dc.language.iso.fl_str_mv por
language por
dc.relation.none.fl_str_mv Villafuerte, L. ; Braumann, C. A. ; Cortés ; J.-C., Jódar, L. (2010). Random differential operational calculus: Theory and applications. Computers & Mathematics with Applications 59: 115-125
MAt - Publicações - Artigos em Revistas Internacionais com Revisão Científica
laura.villafuerte@unach.mx
braumann@uevora.pt
jccortes@mat.upv.es
ljodar@imm.upv.es
340
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
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
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