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 A formulation of Noether's theorem for fractional problems of the calculus of variations
Please use this identifier to cite or link to this item http://hdl.handle.net/10773/4141

title: A formulation of Noether's theorem for fractional problems of the calculus of variations
authors: Frederico, G.S.F.
Torres, D.F.M.
keywords: Calculus of variations
Fractional derivatives
Noether's theorem
issue date: 2007
publisher: Elsevier
abstract: 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.
URI: http://hdl.handle.net/10773/4141
ISSN: 0022-247X
source: Journal of Mathematical Analysis and Applications
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