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http://hdl.handle.net/10773/23631
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DC Field | Value | Language |
---|---|---|
dc.contributor.author | Ferreira, Milton | pt |
dc.contributor.author | Rodrigues, Manuela | pt |
dc.contributor.author | Vieira, Nelson Felipe Loureiro | pt |
dc.date.accessioned | 2018-06-22T11:13:00Z | - |
dc.date.issued | 2018-05 | - |
dc.identifier.issn | 0188-7009 | pt |
dc.identifier.uri | http://hdl.handle.net/10773/23631 | - |
dc.description.abstract | In 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 |
dc.language.iso | eng | pt |
dc.publisher | Springer | pt |
dc.relation | info:eu-repo/grantAgreement/FCT/5876/147206/PT | pt |
dc.relation | FCT - IF/00271/2014 | pt |
dc.rights | openAccess | por |
dc.subject | Time-fractional telegraph equation | pt |
dc.subject | Time-fractional telegraph Dirac operator | pt |
dc.subject | First and second fundamental solutions | pt |
dc.subject | Caputo fractional derivative | pt |
dc.subject | Multivariate Mittag-Leffler function | pt |
dc.subject | H-function of two variables | pt |
dc.title | First and second fundamental solutions of the time-fractional telegraph equation with Laplace or Dirac operators | pt |
dc.type | article | pt |
dc.peerreviewed | yes | pt |
ua.distribution | international | pt |
degois.publication.firstPage | 1 | pt |
degois.publication.issue | 2 | pt |
degois.publication.lastPage | 14 | pt |
degois.publication.title | Advances in Applied Clifford Algebras | pt |
degois.publication.volume | 28 | pt |
dc.date.embargo | 2019-05-01T11:00:00Z | - |
dc.identifier.doi | 10.1007/s00006-018-0858-7 | pt |
Appears in Collections: | CIDMA - Artigos CHAG - Artigos |
Files in This Item:
File | Description | Size | Format | |
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POSPrint_FS_Time_Fract_telegraph_equation_2018.pdf | Documento principal | 351.04 kB | Adobe PDF | View/Open |
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