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ψ-Hilfer fractional relaxation-oscillation equation

Bibliographic Details
Main Author: Vieira, N.
Publication Date: 2022
Other Authors: Ferreira, M., Rodrigues, M. Manuela
Language: eng
Source: Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
Download full: http://hdl.handle.net/10773/35164
Summary: In this work, we solve the ψ-Hilfer fractional relaxation-oscillation equation with a force term, where the time-fractional derivatives are in the ψ-Hilfer sense. The solution of the equation is presented in terms of bivariate Mittag-Leffler functions. An asymptotic analysis of the solution of the associated homogeneous equation is performed.
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spelling ψ-Hilfer fractional relaxation-oscillation equationFractional relaxation-oscillation equationψ-Hilfer derivativeBivariate Mittag-Leffler functionIn this work, we solve the ψ-Hilfer fractional relaxation-oscillation equation with a force term, where the time-fractional derivatives are in the ψ-Hilfer sense. The solution of the equation is presented in terms of bivariate Mittag-Leffler functions. An asymptotic analysis of the solution of the associated homogeneous equation is performed.School of Engineering, Polytechnic of Porto2022-11-09T18:13:02Z2022-01-01T00:00:00Z2022book partinfo:eu-repo/semantics/publishedVersionapplication/pdfhttp://hdl.handle.net/10773/35164eng978-989-53496-3-0Vieira, N.Ferreira, M.Rodrigues, M. Manuelainfo: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:RCAAP2024-05-06T04:39:13Zoai:ria.ua.pt:10773/35164Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireinfo@rcaap.ptopendoar:https://opendoar.ac.uk/repository/71602025-05-28T14:15:37.965031Repositórios 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 ψ-Hilfer fractional relaxation-oscillation equation
title ψ-Hilfer fractional relaxation-oscillation equation
spellingShingle ψ-Hilfer fractional relaxation-oscillation equation
Vieira, N.
Fractional relaxation-oscillation equation
ψ-Hilfer derivative
Bivariate Mittag-Leffler function
title_short ψ-Hilfer fractional relaxation-oscillation equation
title_full ψ-Hilfer fractional relaxation-oscillation equation
title_fullStr ψ-Hilfer fractional relaxation-oscillation equation
title_full_unstemmed ψ-Hilfer fractional relaxation-oscillation equation
title_sort ψ-Hilfer fractional relaxation-oscillation equation
author Vieira, N.
author_facet Vieira, N.
Ferreira, M.
Rodrigues, M. Manuela
author_role author
author2 Ferreira, M.
Rodrigues, M. Manuela
author2_role author
author
dc.contributor.author.fl_str_mv Vieira, N.
Ferreira, M.
Rodrigues, M. Manuela
dc.subject.por.fl_str_mv Fractional relaxation-oscillation equation
ψ-Hilfer derivative
Bivariate Mittag-Leffler function
topic Fractional relaxation-oscillation equation
ψ-Hilfer derivative
Bivariate Mittag-Leffler function
description In this work, we solve the ψ-Hilfer fractional relaxation-oscillation equation with a force term, where the time-fractional derivatives are in the ψ-Hilfer sense. The solution of the equation is presented in terms of bivariate Mittag-Leffler functions. An asymptotic analysis of the solution of the associated homogeneous equation is performed.
publishDate 2022
dc.date.none.fl_str_mv 2022-11-09T18:13:02Z
2022-01-01T00:00:00Z
2022
dc.type.driver.fl_str_mv book part
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://hdl.handle.net/10773/35164
url http://hdl.handle.net/10773/35164
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 978-989-53496-3-0
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv School of Engineering, Polytechnic of Porto
publisher.none.fl_str_mv School of Engineering, Polytechnic of Porto
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
_version_ 1833594445635780608

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