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Time-fractional telegraph equation of distributed order in higher dimensions

2021-11Journal article Open access
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dc.contributor.authorVieira, Nelson
dc.contributor.authorRodrigues, M. Manuela
dc.contributor.authorFerreira, Milton
dc.date.accessioned2022-08-05T14:12:28Z
dc.date.available2023-11-04T01:30:19Z
dc.date.issued2021-11
dc.description.abstractIn this work, the Cauchy problem for the time-fractional telegraph equation of distributed order in Rn is considered. By employing the technique of the Fourier, Laplace, and Mellin transforms, a representation of the fundamental solution of this equation in terms of convolutions involving the Fox H-function is obtained. Some particular choices of the density functions in the form of elementary functions are studied. Fractional moments of the fundamental solution are computed in the Laplace domain. Finally, by application of the Tauberian theorems we study the asymptotic behaviour of the second-order moment (variance) in the time domain.pt_PT
dc.description.versioninfo:eu-repo/semantics/publishedVersionpt_PT
dc.identifier.citationN. Vieira, M.M. Rodrigues, and M. Ferreira, Time-fractional telegraph equation of distributed order in higher dimensions, Commun. Nonlinear Sci. Numer. Simul., Vol. 102, 2021, Page: 105925pt_PT
dc.identifier.doi10.1016/j.cnsns.2021.105925pt_PT
dc.identifier.urihttp://hdl.handle.net/10400.8/7512
dc.language.isoengpt_PT
dc.peerreviewedyespt_PT
dc.publisherElsevierpt_PT
dc.relationCenter for Research and Development in Mathematics and Applications
dc.relation.publisherversionhttps://www.sciencedirect.com/science/article/pii/S1007570421002379pt_PT
dc.subjectTime-fractional telegraph equationpt_PT
dc.subjectDistributed orderpt_PT
dc.subjectLaplace, Fourier and Mellin transformspt_PT
dc.subjectFox H-functionspt_PT
dc.subjectFractional momentspt_PT
dc.subjectTauberian theoremspt_PT
dc.titleTime-fractional telegraph equation of distributed order in higher dimensionspt_PT
dc.typejournal article
dspace.entity.typePublication
oaire.awardTitleCenter for Research and Development in Mathematics and Applications
oaire.awardURIinfo:eu-repo/grantAgreement/FCT/6817 - DCRRNI ID/UIDB%2F04106%2F2020/PT
oaire.citation.startPage105925pt_PT
oaire.citation.titleCommunications in Nonlinear Science and Numerical Simulationpt_PT
oaire.citation.volume102pt_PT
oaire.fundingStream6817 - DCRRNI ID
person.familyNameVieira
person.familyNameRodrigues
person.familyNameFerreira
person.givenNameNelson
person.givenNameM. Manuela
person.givenNameMilton
person.identifier.ciencia-id9418-DDFB-DE9D
person.identifier.ciencia-id461D-A5E2-23BE
person.identifier.ciencia-idCA19-2009-F26D
person.identifier.orcid0000-0001-8756-4893
person.identifier.orcid0000-0002-8834-5841
person.identifier.orcid0000-0003-1816-8293
person.identifier.ridH-9130-2013
person.identifier.ridA-2004-2015
person.identifier.scopus-author-id55576073000
person.identifier.scopus-author-id22835991500
person.identifier.scopus-author-id12144179800
project.funder.identifierhttp://doi.org/10.13039/501100001871
project.funder.nameFundação para a Ciência e a Tecnologia
rcaap.embargofctEmbargo da Editora.pt_PT
rcaap.rightsopenAccesspt_PT
rcaap.typearticlept_PT
relation.isAuthorOfPublicationf530f82c-8351-4c64-a33e-4c34fe4ac22a
relation.isAuthorOfPublication57767487-249d-4111-a6c5-a22fed15d8ea
relation.isAuthorOfPublicationb1460cdc-4ced-46c6-a637-68b425d104dc
relation.isAuthorOfPublication.latestForDiscovery57767487-249d-4111-a6c5-a22fed15d8ea
relation.isProjectOfPublication198b0a26-89c6-4507-9459-313b8f692514
relation.isProjectOfPublication.latestForDiscovery198b0a26-89c6-4507-9459-313b8f692514

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