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http://hdl.handle.net/10773/27160
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DC Field | Value | Language |
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dc.contributor.author | Teodoro, A. Di | pt_PT |
dc.contributor.author | Ferreira, M. | pt_PT |
dc.contributor.author | Vieira, N. | pt_PT |
dc.date.accessioned | 2019-12-12T12:59:03Z | - |
dc.date.issued | 2020-02 | - |
dc.identifier.issn | 0188-7009 | pt_PT |
dc.identifier.uri | http://hdl.handle.net/10773/27160 | - |
dc.description.abstract | In this paper, we study the fundamental solution for natural powers of the $n$-parameter fractional Laplace and Dirac operators defined via Riemann-Liouville fractional derivatives. To do this we use iteration through the fractional Poisson equation starting from the fundamental solutions of the fractional Laplace $\Delta_{a^+}^\alpha$ and Dirac $D_{a^+}^\alpha$ operators, admitting a summable fractional derivative. The family of fundamental solutions of the corresponding natural powers of fractional Laplace and Dirac operators are expressed in operator form using the Mittag-Leffler function. | pt_PT |
dc.language.iso | eng | pt_PT |
dc.publisher | Springer | pt_PT |
dc.relation | UID/MAT/04106/2019 | 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 | Fractional Clifford Analysis | pt_PT |
dc.subject | Fractional derivatives | pt_PT |
dc.subject | Fundamental solution | pt_PT |
dc.subject | Poisson's equation | pt_PT |
dc.subject | Laplace transform | pt_PT |
dc.title | Fundamental solution for natural powers of the fractional Laplace and Dirac operators in the Riemann-Liouville sense | pt_PT |
dc.type | article | pt_PT |
dc.description.version | published | pt_PT |
dc.peerreviewed | yes | pt_PT |
degois.publication.issue | 3 | pt_PT |
degois.publication.title | Advances in Applied Clifford Algebras | pt_PT |
degois.publication.volume | 30 | pt_PT |
dc.date.embargo | 2020-11-10 | - |
dc.identifier.doi | 10.1007/s00006-019-1029-1 | pt_PT |
dc.identifier.essn | 1661-4909 | pt_PT |
Appears in Collections: | CIDMA - Artigos DMat - Artigos CHAG - Artigos |
Files in This Item:
File | Description | Size | Format | |
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artigo52.pdf | 424.29 kB | Adobe PDF | View/Open |
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