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|Title:||A formulation of Noether's theorem for fractional problems of the calculus of variations|
|Keywords:||Calculus of variations|
|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.|
|Appears in Collections:||MAT - Artigos|
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