Publication
Optimal approximation of fractional derivatives through discrete-time fractions using genetic algorithms
| dc.contributor.author | Machado, J. A. Tenreiro | |
| dc.contributor.author | Galhano, Alexandra | |
| dc.contributor.author | Oliveira, Anabela | |
| dc.contributor.author | Tar, József K. | |
| dc.date.accessioned | 2014-03-28T11:30:32Z | |
| dc.date.available | 2014-03-28T11:30:32Z | |
| dc.date.issued | 2010 | |
| dc.description.abstract | This study addresses the optimization of rational fraction approximations for the discrete-time calculation of fractional derivatives. The article starts by analyzing the standard techniques based on Taylor series and Padé expansions. In a second phase the paper re-evaluates the problem in an optimization perspective by tacking advantage of the flexibility of the genetic algorithms. | por |
| dc.identifier.doi | 10.1016/j.cnsns.2009.04.030 | pt_PT |
| dc.identifier.issn | 1007-5704 | |
| dc.identifier.uri | http://hdl.handle.net/10400.22/4276 | |
| dc.language.iso | eng | por |
| dc.peerreviewed | yes | por |
| dc.publisher | Elsevier | por |
| dc.relation.ispartofseries | Communications in Nonlinear Science and Numerical Simulation; Vol. 15, Issue 3 | |
| dc.relation.publisherversion | http://www.sciencedirect.com/science/article/pii/S1007570409002263 | por |
| dc.subject | Fractional derivatives | por |
| dc.subject | Fractional calculus | por |
| dc.subject | Optimization | por |
| dc.subject | Genetic algorithms | por |
| dc.title | Optimal approximation of fractional derivatives through discrete-time fractions using genetic algorithms | por |
| dc.type | journal article | |
| dspace.entity.type | Publication | |
| oaire.citation.endPage | 490 | por |
| oaire.citation.issue | Issue 3 | por |
| oaire.citation.startPage | 482 | por |
| oaire.citation.title | Communications in Nonlinear Science and Numerical Simulation | por |
| oaire.citation.volume | Vol. 15 | por |
| person.familyName | Tenreiro Machado | |
| person.familyName | Galhano | |
| person.givenName | J. A. | |
| person.givenName | Alexandra | |
| person.identifier.ciencia-id | 7A18-4935-5B29 | |
| person.identifier.orcid | 0000-0003-4274-4879 | |
| person.identifier.orcid | 0000-0001-8262-1369 | |
| person.identifier.rid | M-2173-2013 | |
| person.identifier.scopus-author-id | 55989030100 | |
| person.identifier.scopus-author-id | 6603868968 | |
| rcaap.rights | openAccess | por |
| rcaap.type | article | por |
| relation.isAuthorOfPublication | 82cd5c17-07b6-492b-b3e3-ecebdad1254f | |
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| relation.isAuthorOfPublication.latestForDiscovery | e3969dd5-127d-4759-8008-e057e71a1baa |