Repository logo
 
Publication

Distributed-order relaxation-oscillation equation

2024-06-07Journal article Open access
Simple item page
dc.contributor.authorRodrigues, M. M.
dc.contributor.authorFerreira, M.
dc.contributor.authorVieira, N.
dc.date.accessioned2024-06-20T12:53:51Z
dc.date.available2024-06-20T12:53:51Z
dc.date.issued2024-06-07
dc.descriptionAcknowledgments The work of the authors was supported by Portuguese funds through CIDMA-Center for Research and Development in Mathematics and Applications, and FCT–Fundação para a Ciência e a Tecnologia, within projects UIDB/04106/2020 and UIDP/04106/2020. N. Vieira was also supported by FCT via the 2018 FCT program of Stimulus of Scientific Employment - Individual Support (Ref: CEECIND/01131/2018).pt_PT
dc.description.abstractIn this short paper, we study the Cauchy problem associated with the forced time-fractional relaxation-oscillation equation with distributed order. We employ the Laplace transform technique to derive the solution. Additionally, for the scenario without external forcing, we focus on density functions characterized by a single order, demonstrating that under these conditions, the solution can be expressed using two-parameter Mittag-Leffler functions.pt_PT
dc.description.versioninfo:eu-repo/semantics/publishedVersionpt_PT
dc.identifier.citationM. M. Rodrigues, M. Ferreira, and N. Vieira, Distributed-order relaxation-oscillation equation, International Conference of Numerical Analysis and Applied Mathematics 2022 (ICNAAM 2022), Heraklion, Greece, AIP Conference Proceedings 3094(1), 260001 (2024).pt_PT
dc.identifier.doihttps://doi.org/10.1063/5.0213199pt_PT
dc.identifier.eissn1551-7616
dc.identifier.issn0094-243X
dc.identifier.urihttp://hdl.handle.net/10400.8/9727
dc.language.isoengpt_PT
dc.peerreviewedyespt_PT
dc.publisherAIP Publishing - American Institute of Physicspt_PT
dc.relationCenter for Research and Development in Mathematics and Applications
dc.relationCenter for Research and Development in Mathematics and Applications
dc.relationNot Available
dc.relation.publisherversionhttps://doi.org/10.1063/5.0213199pt_PT
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/pt_PT
dc.subjectTime-fractional relaxation-oscillation equationpt_PT
dc.subjectDistributed orderpt_PT
dc.subjectLaplace transformpt_PT
dc.titleDistributed-order relaxation-oscillation equationpt_PT
dc.typejournal article
dspace.entity.typePublication
oaire.awardTitleCenter for Research and Development in Mathematics and Applications
oaire.awardTitleCenter for Research and Development in Mathematics and Applications
oaire.awardTitleNot Available
oaire.awardURIinfo:eu-repo/grantAgreement/FCT/6817 - DCRRNI ID/UIDB%2F04106%2F2020/PT
oaire.awardURIinfo:eu-repo/grantAgreement/FCT/6817 - DCRRNI ID/UIDP%2F04106%2F2020/PT
oaire.awardURIinfo:eu-repo/grantAgreement/FCT/CEEC IND 2018/CEECIND%2F01131%2F2018%2FCP1559%2FCT0014/PT
oaire.citation.issue1pt_PT
oaire.citation.startPage260001pt_PT
oaire.citation.titleAIP Conference Proceedingspt_PT
oaire.citation.volume3094pt_PT
oaire.fundingStream6817 - DCRRNI ID
oaire.fundingStream6817 - DCRRNI ID
oaire.fundingStreamCEEC IND 2018
person.familyNameFerreira
person.givenNameMilton
person.identifier.ciencia-idCA19-2009-F26D
person.identifier.orcid0000-0003-1816-8293
person.identifier.ridA-2004-2015
person.identifier.scopus-author-id12144179800
project.funder.identifierhttp://doi.org/10.13039/501100001871
project.funder.identifierhttp://doi.org/10.13039/501100001871
project.funder.identifierhttp://doi.org/10.13039/501100001871
project.funder.nameFundação para a Ciência e a Tecnologia
project.funder.nameFundação para a Ciência e a Tecnologia
project.funder.nameFundação para a Ciência e a Tecnologia
rcaap.rightsopenAccesspt_PT
rcaap.typearticlept_PT
relation.isAuthorOfPublicationb1460cdc-4ced-46c6-a637-68b425d104dc
relation.isAuthorOfPublication.latestForDiscoveryb1460cdc-4ced-46c6-a637-68b425d104dc
relation.isProjectOfPublication198b0a26-89c6-4507-9459-313b8f692514
relation.isProjectOfPublication12b5a55f-76f1-4cab-b7e3-cb84215f36c1
relation.isProjectOfPublicatione8d37498-c6ee-4714-baac-d411ad6776f1
relation.isProjectOfPublication.latestForDiscovery198b0a26-89c6-4507-9459-313b8f692514

Files

Original bundle
Now showing 1 - 1 of 1
Thumbnail Image
Name:
Distributed-order relaxation-oscillation equation_AIP_ICNAAM_2022_VPublished.pdf
Size:
564.77 KB
Format:
Adobe Portable Document Format
Description:
Download
License bundle
Now showing 1 - 1 of 1
No Thumbnail Available
Name:
license.txt
Size:
1.32 KB
Format:
Item-specific license agreed upon to submission
Description:
Download

Collections

ESTG - Comunicações em conferências e congressos internacionais
ESTG - Artigos em revistas internacionais