Necessary optimality conditions for fractional difference problems of the calculus of variations

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 wit...

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Bibliographic Details
Main Author: Bastos, N. R. O. (author)
Other Authors: Ferreira, R. A. C. (author), Torres, D. F. M. (author)
Format: article
Language:eng
Published: 2014
Subjects:
Online Access:http://hdl.handle.net/10400.19/2434
Country:Portugal
Oai:oai:repositorio.ipv.pt:10400.19/2434