Publication
What is a fractional derivative?
| dc.contributor.author | Ortigueira, Manuel | |
| dc.contributor.author | Machado, J. A. Tenreiro | |
| dc.date.accessioned | 2015-11-19T16:57:15Z | |
| dc.date.available | 2015-11-19T16:57:15Z | |
| dc.date.issued | 2015 | |
| dc.description.abstract | This paper discusses the concepts underlying the formulation of operators capable of being interpreted as fractional derivatives or fractional integrals. Two criteria for required by a fractional operator are formulated. The Grünwald–Letnikov, Riemann–Liouville and Caputo fractional derivatives and the Riesz potential are accessed in the light of the proposed criteria. A Leibniz rule is also obtained for the Riesz potential. | pt_PT |
| dc.identifier.doi | 10.1016/j.jcp.2014.07.019 | pt_PT |
| dc.identifier.uri | http://hdl.handle.net/10400.22/6952 | |
| dc.language.iso | eng | pt_PT |
| dc.publisher | Elsevier | pt_PT |
| dc.relation.ispartofseries | Journal of Computational Physics;Vol. 293 | |
| dc.relation.publisherversion | http://www.sciencedirect.com/science/article/pii/S0021999114005129 | pt_PT |
| dc.subject | Fractional derivative | pt_PT |
| dc.subject | Riesz potential | pt_PT |
| dc.subject | Fractional calculus | pt_PT |
| dc.title | What is a fractional derivative? | pt_PT |
| dc.type | journal article | |
| dspace.entity.type | Publication | |
| oaire.citation.endPage | 13 | pt_PT |
| oaire.citation.startPage | 4 | pt_PT |
| oaire.citation.title | Journal of Computational Physics | pt_PT |
| oaire.citation.volume | 293 | 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 | closedAccess | pt_PT |
| rcaap.type | article | pt_PT |
| relation.isAuthorOfPublication | 82cd5c17-07b6-492b-b3e3-ecebdad1254f | |
| relation.isAuthorOfPublication.latestForDiscovery | 82cd5c17-07b6-492b-b3e3-ecebdad1254f |