Publication
First and second fundamental solutions of the time-fractional telegraph equation of order 2α
| dc.contributor.author | Ferreira, Milton | |
| dc.contributor.author | Rodrigues, M. Manuela | |
| dc.contributor.author | Vieira, Nelson | |
| dc.date.accessioned | 2019-02-06T16:05:36Z | |
| dc.date.available | 2019-02-06T16:05:36Z | |
| dc.date.issued | 2018-12-04 | |
| dc.description.abstract | In this work we obtain the first and second fundamental solutions of the multidimensional time-fractional equation of order 2α, α ∈]0, 1], where the two time-fractional derivatives are in the Caputo sense. We obtain representations of the fundamental solutions in terms of Hankel transform, double Mellin-Barnes integral, and H-functions of two variables. As an application, the fundamental solutions are used to solve a Cauchy problem and to study telegraph process with Brownian time. | pt_PT |
| dc.description.version | info:eu-repo/semantics/publishedVersion | pt_PT |
| dc.identifier.citation | M. Ferreira, M. M. Rodrigues, and N. Vieira, First and second fundamental solutions of the time-fractional telegraph equation of order 2α, AIP Conference Proceedings ICNPAA 2018 World Congress, 2046, 020079 (2018) | pt_PT |
| dc.identifier.doi | 10.1063/1.5081599 | pt_PT |
| dc.identifier.uri | http://hdl.handle.net/10400.8/3802 | |
| dc.language.iso | eng | pt_PT |
| dc.peerreviewed | yes | pt_PT |
| dc.publisher | AIP Publishing | pt_PT |
| dc.relation.publisherversion | https://aip.scitation.org/doi/abs/10.1063/1.5081599 | pt_PT |
| dc.rights.uri | http://creativecommons.org/licenses/by/4.0/ | pt_PT |
| dc.subject | Time-fractional equation | pt_PT |
| dc.subject | Telegraph equation | pt_PT |
| dc.subject | Dirac operator | pt_PT |
| dc.subject | Caputo fractional derivative | pt_PT |
| dc.subject | H-functions | pt_PT |
| dc.subject | Multidimensional time-fractional equation | pt_PT |
| dc.subject | Mittag-Leffler functions | pt_PT |
| dc.title | First and second fundamental solutions of the time-fractional telegraph equation of order 2α | pt_PT |
| dc.type | journal article | |
| dspace.entity.type | Publication | |
| oaire.awardURI | info:eu-repo/grantAgreement/FCT/5876/UID%2FMAT%2F04106%2F2013/PT | |
| oaire.citation.conferencePlace | Yerevan, Armenia | pt_PT |
| oaire.citation.endPage | 020079-9 | pt_PT |
| oaire.citation.startPage | 020079-1 | pt_PT |
| oaire.citation.title | AIP Conference Proceedings | pt_PT |
| oaire.citation.volume | 2046 | pt_PT |
| oaire.fundingStream | 5876 | |
| person.familyName | Ferreira | |
| person.familyName | Rodrigues | |
| person.familyName | Vieira | |
| person.givenName | Milton | |
| person.givenName | M. Manuela | |
| person.givenName | Nelson | |
| person.identifier.ciencia-id | CA19-2009-F26D | |
| person.identifier.ciencia-id | 461D-A5E2-23BE | |
| person.identifier.ciencia-id | 9418-DDFB-DE9D | |
| person.identifier.orcid | 0000-0003-1816-8293 | |
| person.identifier.orcid | 0000-0002-8834-5841 | |
| person.identifier.orcid | 0000-0001-8756-4893 | |
| person.identifier.rid | A-2004-2015 | |
| person.identifier.rid | H-9130-2013 | |
| person.identifier.scopus-author-id | 12144179800 | |
| person.identifier.scopus-author-id | 22835991500 | |
| person.identifier.scopus-author-id | 55576073000 | |
| project.funder.identifier | http://doi.org/10.13039/501100001871 | |
| project.funder.name | Fundação para a Ciência e a Tecnologia | |
| rcaap.rights | openAccess | pt_PT |
| rcaap.type | article | pt_PT |
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