Solution of Equations with q-Derivatives and Ward’s Derivatives Using an Operational Method

Bibliographic Details
Main Author: Bengochea, Gabriel
Publication Date: 2022
Other Authors: Verde-Star, Luís, Ortigueira, Manuel
Format: Article
Language: eng
Source: Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
Download full: http://hdl.handle.net/10362/158000
Summary: 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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spelling 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:Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)instname:FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologiainstacron:RCAAP2024-05-22T18:14:28Zoai:run.unl.pt:10362/158000Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireinfo@rcaap.ptopendoar:https://opendoar.ac.uk/repository/71602025-05-28T17:45:03.960795Repositórios Científicos de Acesso Aberto de Portugal (RCAAP) - FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologiafalse
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:Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
instname:FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologia
instacron:RCAAP
instname_str FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologia
instacron_str RCAAP
institution RCAAP
reponame_str Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
collection Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
repository.name.fl_str_mv Repositórios Científicos de Acesso Aberto de Portugal (RCAAP) - FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologia
repository.mail.fl_str_mv info@rcaap.pt
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