Publication
Discrete-time fractional variational problems
| dc.contributor.author | Bastos, N. R. O. | |
| dc.contributor.author | Ferreira, R. A. C. | |
| dc.contributor.author | Torres, D. F. M. | |
| dc.date.accessioned | 2014-12-09T13:43:19Z | |
| dc.date.available | 2014-12-09T13:43:19Z | |
| dc.date.issued | 2011 | |
| dc.description.abstract | We introduce a discrete-time fractional calculus of variations on the time scale (hℤ)a,a∈ℝ,h>0. 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 solutions to the considered fractional problems become the classical discrete-time solutions when the fractional order of the discrete-derivatives are integer values, and that they converge to the fractional continuous-time solutions when h tends to zero. Our Legendre type condition is useful to eliminate false candidates identified via the Euler-Lagrange fractional equation. © 2010 Elsevier B.V. All rights reserved. | por |
| dc.identifier.issn | 0165-1684 | |
| dc.identifier.uri | http://hdl.handle.net/10400.19/2433 | |
| dc.language.iso | eng | por |
| dc.peerreviewed | yes | por |
| dc.publisher | Elsevier | por |
| 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.subject | Natural boundary conditions | por |
| dc.subject | Time scale hZ | por |
| dc.title | Discrete-time fractional variational problems | por |
| dc.type | journal article | |
| dspace.entity.type | Publication | |
| oaire.citation.endPage | 524 | por |
| oaire.citation.startPage | 513 | por |
| oaire.citation.title | Signal Processing | por |
| rcaap.rights | restrictedAccess | por |
| rcaap.type | article | por |
Files
Original bundle
1 - 1 of 1
No Thumbnail Available
- Name:
- [179]Discrete-Time_Fractional_Variational_Problems.pdf
- Size:
- 324.73 KB
- Format:
- Adobe Portable Document Format
License bundle
1 - 1 of 1
No Thumbnail Available
- Name:
- license.txt
- Size:
- 1.71 KB
- Format:
- Item-specific license agreed upon to submission
- Description: