Please use this identifier to cite or link to this item:
http://hdl.handle.net/10773/25339
Full metadata record
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Ferreira, Milton dos Santos | pt_PT |
dc.contributor.author | Rodrigues, Maria Manuela Fernandes | pt_PT |
dc.contributor.author | Vieira, Nelson Felipe | pt_PT |
dc.date.accessioned | 2019-02-18T11:50:07Z | - |
dc.date.issued | 2018 | - |
dc.identifier.issn | 978-0-7354-1772-4 | pt_PT |
dc.identifier.uri | http://hdl.handle.net/10773/25339 | - |
dc.description.abstract | In this work we obtain the first and second fundamental solutions of the multidimensional time-fractional equation of order $2\alpha$, $\alpha \in ]0,1]$, 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.language.iso | eng | pt_PT |
dc.publisher | AIP Publishing | pt_PT |
dc.relation | info:eu-repo/grantAgreement/FCT/5876/147206/PT | pt_PT |
dc.relation | IF/00271/2014 | pt_PT |
dc.rights | openAccess | pt_PT |
dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | pt_PT |
dc.subject | Time-fractional telegraph equation | pt_PT |
dc.subject | Telegraph Dirac operator | pt_PT |
dc.subject | First and second fundamental solutions | pt_PT |
dc.subject | Caputo fractional derivative | pt_PT |
dc.subject | Multivariate Mittag-Leffler function | pt_PT |
dc.subject | H-function of two variables | pt_PT |
dc.title | First and second fundamental solutions of the time-fractional telegraph equation of order 2α | pt_PT |
dc.type | article | pt_PT |
dc.description.version | published | pt_PT |
dc.peerreviewed | yes | pt_PT |
degois.publication.firstPage | 1 | pt_PT |
degois.publication.lastPage | 9 | pt_PT |
degois.publication.title | AIP Conference Proceedings - Special Isssue for the 12th International Conference on Mathematical Problems in Engineering, Aerospace and Sciences | pt_PT |
degois.publication.volume | 2046 | pt_PT |
dc.date.embargo | 2020-02-06 | - |
dc.relation.publisherversion | https://aip.scitation.org/doi/abs/10.1063/1.5081599 | pt_PT |
dc.identifier.doi | 10.1063/1.5081599 | pt_PT |
Appears in Collections: | CIDMA - Artigos CHAG - Artigos |
Files in This Item:
File | Description | Size | Format | |
---|---|---|---|---|
artigo55.pdf | 361.1 kB | Adobe PDF | View/Open |
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.