Publicação
Riesz potential versus fractional Laplacian
| dc.contributor.author | Ortigueira, Manuel D. | |
| dc.contributor.author | Laleg-Kirati, Taous-Meriem | |
| dc.contributor.author | Machado, J. A. Tenreiro | |
| dc.date.accessioned | 2015-11-19T11:47:32Z | |
| dc.date.available | 2015-11-19T11:47:32Z | |
| dc.date.issued | 2014 | |
| dc.description.abstract | This paper starts by introducing the Grünwald–Letnikov derivative, the Riesz potential and the problem of generalizing the Laplacian. Based on these ideas, the generalizations of the Laplacian for 1D and 2D cases are studied. It is presented as a fractional version of the Cauchy–Riemann conditions and, finally, it is discussed with the n-dimensional Laplacian. | pt_PT |
| dc.identifier.doi | 10.1088/1742-5468/2014/09/P09032 | pt_PT |
| dc.identifier.uri | http://hdl.handle.net/10400.22/6933 | |
| dc.language.iso | eng | pt_PT |
| dc.publisher | IOP Publishing | pt_PT |
| dc.relation.ispartofseries | Journal of Statistical Mechanics: Theory and Experiment; | |
| dc.relation.publisherversion | http://iopscience.iop.org/article/10.1088/1742-5468/2014/09/P09032/meta;jsessionid=4F5950E0ED4EB00D8AA7F638A25DE6DC.c1 | pt_PT |
| dc.subject | Nonlinear dynamics | pt_PT |
| dc.title | Riesz potential versus fractional Laplacian | pt_PT |
| dc.type | journal article | |
| dspace.entity.type | Publication | |
| oaire.citation.endPage | 11 | pt_PT |
| oaire.citation.startPage | 1 | pt_PT |
| oaire.citation.title | Journal of Statistical Mechanics: Theory and Experiment | pt_PT |
| person.familyName | Tenreiro Machado | |
| person.givenName | J. A. | |
| person.identifier.ciencia-id | 7A18-4935-5B29 | |
| person.identifier.orcid | 0000-0003-4274-4879 | |
| person.identifier.rid | M-2173-2013 | |
| person.identifier.scopus-author-id | 55989030100 | |
| rcaap.rights | openAccess | pt_PT |
| rcaap.type | article | pt_PT |
| relation.isAuthorOfPublication | 82cd5c17-07b6-492b-b3e3-ecebdad1254f | |
| relation.isAuthorOfPublication.latestForDiscovery | 82cd5c17-07b6-492b-b3e3-ecebdad1254f |