Solution of Equations with q-Derivatives and Ward’s Derivatives Using an Operational Method
Autor(a) principal: | |
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Data de Publicação: | 2022 |
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/10362/158000 |
Resumo: | Funding Information: 2020 Mathematics Subject Classification. Primary 44A40, 34A06, 39A13 Keywords. Operational calculus; q-calculus; Ward’s calculus Received: 10 May 2021; Accepted: 26 October 2021 Communicated by Hari M. Srivastava Corresponding author: Gabriel Bengochea. Email addresses: gabriel.bengochea@uacm.edu.mx (Gabriel Bengochea), verde@xanum.uam.mx (Luis Verde-Star), mdo@fct.unl.pt (Manuel Ortigueira) Publisher Copyright: © 2022, University of Nis. All rights reserved. |
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Solution of Equations with q-Derivatives and Ward’s Derivatives Using an Operational MethodOperational calculusq-calculusWard’s calculusMathematics(all)Funding Information: 2020 Mathematics Subject Classification. Primary 44A40, 34A06, 39A13 Keywords. Operational calculus; q-calculus; Ward’s calculus Received: 10 May 2021; Accepted: 26 October 2021 Communicated by Hari M. Srivastava Corresponding author: Gabriel Bengochea. Email addresses: gabriel.bengochea@uacm.edu.mx (Gabriel Bengochea), verde@xanum.uam.mx (Luis Verde-Star), mdo@fct.unl.pt (Manuel Ortigueira) Publisher Copyright: © 2022, University of Nis. All rights reserved.We show that several types of differential equations that involve q-derivatives, Fibonacci deriva-tives, and other Ward’s derivatives, can be solved by an algebraic operational method that does not use integrals nor integral transforms. We deal with extensions of the Ward’s derivatives that can be applied to formal Laurent series. Several examples of linear and nonlinear equations are presented.CTS - Centro de Tecnologia e SistemasUNINOVA-Instituto de Desenvolvimento de Novas TecnologiasDEE - Departamento de Engenharia Electrotécnica e de ComputadoresRUNBengochea, GabrielVerde-Star, LuísOrtigueira, Manuel2023-09-19T22:13:17Z20222022-01-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article12application/pdfhttp://hdl.handle.net/10362/158000eng0354-5180PURE: 51484265https://doi.org/10.2298/FIL2205487Binfo: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:RCAAP2024-03-11T05:40:16Zoai:run.unl.pt:10362/158000Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-20T03:56:56.521953Repositório 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 |
Solution of Equations with q-Derivatives and Ward’s Derivatives Using an Operational Method |
title |
Solution of Equations with q-Derivatives and Ward’s Derivatives Using an Operational Method |
spellingShingle |
Solution of Equations with q-Derivatives and Ward’s Derivatives Using an Operational Method Bengochea, Gabriel Operational calculus q-calculus Ward’s calculus Mathematics(all) |
title_short |
Solution of Equations with q-Derivatives and Ward’s Derivatives Using an Operational Method |
title_full |
Solution of Equations with q-Derivatives and Ward’s Derivatives Using an Operational Method |
title_fullStr |
Solution of Equations with q-Derivatives and Ward’s Derivatives Using an Operational Method |
title_full_unstemmed |
Solution of Equations with q-Derivatives and Ward’s Derivatives Using an Operational Method |
title_sort |
Solution of Equations with q-Derivatives and Ward’s Derivatives Using an Operational Method |
author |
Bengochea, Gabriel |
author_facet |
Bengochea, Gabriel Verde-Star, Luís Ortigueira, Manuel |
author_role |
author |
author2 |
Verde-Star, Luís Ortigueira, Manuel |
author2_role |
author author |
dc.contributor.none.fl_str_mv |
CTS - Centro de Tecnologia e Sistemas UNINOVA-Instituto de Desenvolvimento de Novas Tecnologias DEE - Departamento de Engenharia Electrotécnica e de Computadores RUN |
dc.contributor.author.fl_str_mv |
Bengochea, Gabriel Verde-Star, Luís Ortigueira, Manuel |
dc.subject.por.fl_str_mv |
Operational calculus q-calculus Ward’s calculus Mathematics(all) |
topic |
Operational calculus q-calculus Ward’s calculus Mathematics(all) |
description |
Funding Information: 2020 Mathematics Subject Classification. Primary 44A40, 34A06, 39A13 Keywords. Operational calculus; q-calculus; Ward’s calculus Received: 10 May 2021; Accepted: 26 October 2021 Communicated by Hari M. Srivastava Corresponding author: Gabriel Bengochea. Email addresses: gabriel.bengochea@uacm.edu.mx (Gabriel Bengochea), verde@xanum.uam.mx (Luis Verde-Star), mdo@fct.unl.pt (Manuel Ortigueira) Publisher Copyright: © 2022, University of Nis. All rights reserved. |
publishDate |
2022 |
dc.date.none.fl_str_mv |
2022 2022-01-01T00:00:00Z 2023-09-19T22:13:17Z |
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/10362/158000 |
url |
http://hdl.handle.net/10362/158000 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
0354-5180 PURE: 51484265 https://doi.org/10.2298/FIL2205487B |
dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/openAccess |
eu_rights_str_mv |
openAccess |
dc.format.none.fl_str_mv |
12 application/pdf |
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 |
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Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação |
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RCAAP |
institution |
RCAAP |
reponame_str |
Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
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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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1799138153015017472 |