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Application of fractional order concepts in the study of electrical potential

dc.contributor.authorJesus, Isabel S.
dc.contributor.authorMachado, J. A. Tenreiro
dc.date.accessioned2014-03-17T15:03:01Z
dc.date.available2014-03-17T15:03:01Z
dc.date.issued2011
dc.description.abstractThe Maxwell equations, expressing the fundamental laws of electricity and magnetism, only involve the integer-order calculus. However, several effects present in electromagnetism, motivated recently an analysis under the fractional calculus (FC) perspective. In fact, this mathematical concept allows a deeper insight into many phenomena that classical models overlook. On the other hand, genetic algorithms (GA) are an important tool to solve optimization problems that occur in engineering. In this work we use FC and GA to implement the electrical potential of fractional order. The performance of the GA scheme and the convergence of the resulting approximations are analyzed.por
dc.identifier.doi10.1007/978-3-642-14788-3_34pt_PT
dc.identifier.isbn978-3-642-14787-6
dc.identifier.isbn978-3-642-14788-3
dc.identifier.issn2190-5614
dc.identifier.urihttp://hdl.handle.net/10400.22/4198
dc.language.isoengpor
dc.peerreviewedyespor
dc.publisherSpringerpor
dc.relation.ispartofseriesSpringer Proceedings in Mathematics; Vol. 2
dc.relation.publisherversionhttp://link.springer.com/chapter/10.1007%2F978-3-642-14788-3_34por
dc.titleApplication of fractional order concepts in the study of electrical potentialpor
dc.typebook part
dspace.entity.typePublication
oaire.citation.endPage470por
oaire.citation.startPage467por
oaire.citation.titleDynamics, Games and Science II: DYNA 2008, in Honor of Maurício Peixoto and David Rand, University of Minho, Braga, Portugal, September 8-12, 2008por
oaire.citation.volumeVol. 2por
person.familyNameJesus
person.familyNameTenreiro Machado
person.givenNameIsabel S.
person.givenNameJ. A.
person.identifier.ciencia-id131A-D722-8D60
person.identifier.ciencia-id7A18-4935-5B29
person.identifier.orcid0000-0002-7545-5822
person.identifier.orcid0000-0003-4274-4879
person.identifier.ridM-2173-2013
person.identifier.scopus-author-id9333348500
person.identifier.scopus-author-id55989030100
rcaap.rightsopenAccesspor
rcaap.typebookPartpor
relation.isAuthorOfPublicatione7f8ed34-e3e4-49f5-815b-861c7f28936e
relation.isAuthorOfPublication82cd5c17-07b6-492b-b3e3-ecebdad1254f
relation.isAuthorOfPublication.latestForDiscovery82cd5c17-07b6-492b-b3e3-ecebdad1254f

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