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First and second fundamental solutions of the time-fractional telegraph equation with Laplace or Dirac operators

2018-05Journal article Open access
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dc.contributor.authorFerreira, Milton
dc.contributor.authorRodrigues, Manuela M.
dc.contributor.authorVieira, Nelson
dc.date.accessioned2018-05-28T14:16:57Z
dc.date.available2019-05-15T00:30:12Z
dc.date.issued2018-05
dc.descriptionAcknowledgement: The authors were supported by Portuguese funds through the CIDMA - Center for Research and Development in Mathematics and Applications, and the Portuguese Foundation for Science and Technology (“FCT–Funda¸cˆao para a Ciˆencia e a Tecnologia”), within project UID/MAT/ 0416/2013. N. Vieira is Auxiliar Researcher, under the FCT Researcher Program 2014 (Ref: IF/00271/2014).
dc.description.abstractIn this work we obtain the first and second fundamental solutions (FS) of the multidimensional time-fractional equation with Laplace or Dirac operators, where the two time-fractional derivatives of orders α ∈]0, 1] and β ∈]1, 2] are in the Caputo sense. We obtain representations of the FS in terms of Hankel transform, double Mellin- Barnes integrals, and H-functions of two variables. As an application, the FS are used to solve Cauchy problems of Laplace and Dirac type.pt_PT
dc.description.versioninfo:eu-repo/semantics/publishedVersionpt_PT
dc.identifier.citationFerreira M., Rodrigues M.M., and Vieira N. (2018). First and second fundamental solutions of the time-fractional telegraph equation with Laplace or Dirac operators, Adv. Appl. Clifford Algebras, 28(2), Article No.42 - pp. 1-14.pt_PT
dc.identifier.doiDOI 10.1007/s00006-018-0858-7pt_PT
dc.identifier.issn0188-7009
dc.identifier.urihttp://hdl.handle.net/10400.8/3257
dc.language.isoengpt_PT
dc.peerreviewedyespt_PT
dc.publisherSpringer International Publishing AG. Part of Springer Naturept_PT
dc.relationCenter for Research and Development in Mathematics and Applications
dc.relation.publisherversionhttps://link.springer.com/article/10.1007%2Fs00006-018-0858-7pt_PT
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/pt_PT
dc.subjectTime-fractional telegraph equationpt_PT
dc.subjectTime-fractional telegraph Dirac operatorpt_PT
dc.subjectFirst and second fundamental solutionspt_PT
dc.subjectCaputo fractional derivativept_PT
dc.subjectMultivariate Mittag-Leffler functionpt_PT
dc.subjectH-function of two variablespt_PT
dc.titleFirst and second fundamental solutions of the time-fractional telegraph equation with Laplace or Dirac operatorspt_PT
dc.typejournal article
dspace.entity.typePublication
oaire.awardTitleCenter for Research and Development in Mathematics and Applications
oaire.awardURIinfo:eu-repo/grantAgreement/FCT/Investigador FCT/IF%2F00271%2F2014%2FCP1222%2FCT0008/PT
oaire.awardURIinfo:eu-repo/grantAgreement/FCT/6817 - DCRRNI ID/UID%2FMAT%2F04106%2F2013/PT
oaire.citation.endPage14pt_PT
oaire.citation.issue2pt_PT
oaire.citation.startPage1pt_PT
oaire.citation.titleAdvances in Applied Clifford Algebraspt_PT
oaire.citation.volume28pt_PT
oaire.fundingStreamInvestigador FCT
oaire.fundingStream6817 - DCRRNI ID
person.familyNameFerreira
person.familyNameVieira
person.givenNameMilton
person.givenNameNelson
person.identifier.ciencia-idCA19-2009-F26D
person.identifier.ciencia-id9418-DDFB-DE9D
person.identifier.orcid0000-0003-1816-8293
person.identifier.orcid0000-0001-8756-4893
person.identifier.ridA-2004-2015
person.identifier.ridH-9130-2013
person.identifier.scopus-author-id12144179800
person.identifier.scopus-author-id55576073000
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
rcaap.embargofctPolítica de embargo da editora.pt_PT
rcaap.rightsopenAccesspt_PT
rcaap.typearticlept_PT
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