Publication
Application of Fractional Order Concepts in the Study of Electrical Potential
| dc.contributor.author | Jesus, Isabel S. | |
| dc.contributor.author | Machado, J. A. Tenreiro | |
| dc.date.accessioned | 2016-12-20T11:56:20Z | |
| dc.date.embargo | 2115 | |
| dc.date.issued | 2011 | |
| dc.description.abstract | The 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 optmization problems that occur in engineering. In this work we use FC and GA to implement the electrical potencial of fractional order. The performance of the GA scheme and the convergence of the resulting approximations are analyzed. | pt_PT |
| dc.description.version | info:eu-repo/semantics/publishedVersion | pt_PT |
| dc.identifier.doi | 10.1007/978-3-642-14788-3_34 | pt_PT |
| dc.identifier.isbn | 978-3-642-14787-6 | |
| dc.identifier.uri | http://hdl.handle.net/10400.22/8888 | |
| dc.language.iso | eng | pt_PT |
| dc.publisher | Springer | pt_PT |
| dc.relation.publisherversion | http://link.springer.com/chapter/10.1007/978-3-642-14788-3_34 | pt_PT |
| dc.subject | Maxwell equations | pt_PT |
| dc.subject | Fractional calculus (FC) | pt_PT |
| dc.subject | Integer-order calculus | pt_PT |
| dc.title | Application of Fractional Order Concepts in the Study of Electrical Potential | pt_PT |
| dc.type | book part | |
| dspace.entity.type | Publication | |
| oaire.citation.endPage | 5 | pt_PT |
| oaire.citation.startPage | 1 | pt_PT |
| oaire.citation.title | Dynamics, Games and Science II | pt_PT |
| oaire.citation.volume | II | pt_PT |
| person.familyName | Jesus | |
| person.familyName | Tenreiro Machado | |
| person.givenName | Isabel S. | |
| person.givenName | J. A. | |
| person.identifier.ciencia-id | 131A-D722-8D60 | |
| person.identifier.ciencia-id | 7A18-4935-5B29 | |
| person.identifier.orcid | 0000-0002-7545-5822 | |
| person.identifier.orcid | 0000-0003-4274-4879 | |
| person.identifier.rid | M-2173-2013 | |
| person.identifier.scopus-author-id | 9333348500 | |
| person.identifier.scopus-author-id | 55989030100 | |
| rcaap.rights | closedAccess | pt_PT |
| rcaap.type | bookPart | pt_PT |
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| relation.isAuthorOfPublication.latestForDiscovery | 82cd5c17-07b6-492b-b3e3-ecebdad1254f |