Please use this identifier to cite or link to this item:
http://hdl.handle.net/10773/4071
Full metadata record
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Bastos, N.R.O. | pt |
dc.contributor.author | Ferreira, R.A.C. | pt |
dc.contributor.author | Torres, D.F.M. | pt |
dc.date.accessioned | 2011-10-07T14:13:26Z | - |
dc.date.issued | 2011 | - |
dc.identifier.issn | 0165-1684 | pt |
dc.identifier.uri | http://hdl.handle.net/10773/4071 | - |
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. | pt |
dc.language.iso | eng | pt |
dc.publisher | Elsevier | pt |
dc.relation | dx.doi.org/10.1016/j.sigpro.2010.05.001 | pt |
dc.relation.uri | http://www.scopus.com/inward/record.url?eid=2-s2.0-78049333168&partnerID=40&md5=9bb3c775f96a8b3aa15284ac321b9f70 | - |
dc.rights | restrictedAccess | por |
dc.subject | Calculus of variations | pt |
dc.subject | Euler-Lagrange equation | pt |
dc.subject | Fractional difference calculus | pt |
dc.subject | Fractional summation by parts | pt |
dc.subject | Legendre necessary condition | pt |
dc.subject | Natural boundary conditions | pt |
dc.subject | Time scale hZ | pt |
dc.title | Discrete-time fractional variational problems | pt |
dc.type | article | pt |
dc.peerreviewed | yes | pt |
ua.distribution | international | pt |
degois.publication.firstPage | 513 | pt |
degois.publication.issue | 3 | - |
degois.publication.issue | 3 | pt |
degois.publication.lastPage | 524 | pt |
degois.publication.title | Signal Processing | pt |
degois.publication.volume | 91 | pt |
dc.date.embargo | 10000-01-01 | - |
Appears in Collections: | DMat - Artigos |
Files in This Item:
File | Description | Size | Format | |
---|---|---|---|---|
[179]Discrete-Time_Fractional_Variational_Problems.pdf | 324.73 kB | Adobe PDF |
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.