Publication
Necessary optimality conditions for fractional difference problems of the calculus of variations
| dc.contributor.author | Bastos, N. R. O. | |
| dc.contributor.author | Ferreira, R. A. C. | |
| dc.contributor.author | Torres, D. F. M. | |
| dc.date.accessioned | 2014-12-09T13:43:54Z | |
| dc.date.available | 2014-12-09T13:43:54Z | |
| dc.date.issued | 2011 | |
| dc.description.abstract | We introduce a discrete-time fractional calculus of variations. First and second order necessary optimality conditions are established. Examples illustrating the use of the new Euler-Lagrange and Legendre type conditions are given. They show that the solutions of the fractional problems coincide with the solutions of the corresponding non-fractional variational problems when the order of the discrete derivatives is an integer value. | por |
| dc.identifier.issn | 1078-0947 | |
| dc.identifier.uri | http://hdl.handle.net/10400.19/2434 | |
| dc.language.iso | eng | por |
| dc.peerreviewed | yes | por |
| dc.publisher | American Institute of Mathematical Sciences (AIMS) | por |
| dc.relation.ispartofseries | 2; | |
| dc.subject | Calculus of variations | por |
| dc.subject | Euler-Lagrange equation | por |
| dc.subject | Fractional difference calculus | por |
| dc.subject | Fractional summation by parts | por |
| dc.subject | Legendre necessary condition | por |
| dc.title | Necessary optimality conditions for fractional difference problems of the calculus of variations | por |
| dc.type | journal article | |
| dspace.entity.type | Publication | |
| oaire.citation.endPage | 437 | por |
| oaire.citation.startPage | 417 | por |
| oaire.citation.title | Discrete and Continuous Dynamical Systems | por |
| oaire.citation.volume | 29 | por |
| rcaap.rights | restrictedAccess | por |
| rcaap.type | article | por |