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http://hdl.handle.net/10773/4141
Título: | A formulation of Noether's theorem for fractional problems of the calculus of variations |
Autor: | Frederico, G.S.F. Torres, D.F.M. |
Palavras-chave: | Calculus of variations Fractional derivatives Noether's theorem |
Data: | 2007 |
Editora: | Elsevier |
Resumo: | Fractional (or non-integer) differentiation is an important concept both from theoretical and applicational points of view. The study of problems of the calculus of variations with fractional derivatives is a rather recent subject, the main result being the fractional necessary optimality condition of Euler-Lagrange obtained in 2002. Here we use the notion of Euler-Lagrange fractional extremal to prove a Noether-type theorem. For that we propose a generalization of the classical concept of conservation law, introducing an appropriate fractional operator. © 2007 Elsevier Inc. All rights reserved. |
Peer review: | yes |
URI: | http://hdl.handle.net/10773/4141 |
ISSN: | 0022-247X |
Aparece nas coleções: | DMat - Artigos |
Ficheiros deste registo:
Ficheiro | Descrição | Tamanho | Formato | |
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[068]J-Math-Anal-Appl-07.pdf | 152.14 kB | Adobe PDF |
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