Utilize este identificador para referenciar este registo:
http://hdl.handle.net/10773/4074
Título: | Necessary optimality conditions for fractional difference problems of the calculus of variations |
Autor: | Bastos, N.R.O. Ferreira, R.A.C. Torres, D.F.M. |
Palavras-chave: | Calculus of variations Euler-Lagrange equation Fractional difference calculus Fractional summation by parts Legendre necessary condition |
Data: | 2011 |
Editora: | American Institute of Mathematical Sciences (AIMS) |
Resumo: | 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. |
Peer review: | yes |
URI: | http://hdl.handle.net/10773/4074 |
ISSN: | 1078-0947 |
Aparece nas coleções: | DMat - Artigos |
Ficheiros deste registo:
Ficheiro | Descrição | Tamanho | Formato | |
---|---|---|---|---|
[152]Bastos_Ferreira_Torres-Z.pdf | 509.92 kB | Adobe PDF |
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