TY: JOUR
T1 - A formulation of Noether's theorem for fractional problems of the calculus of variations
A1 - Frederico, G.S.F.
A1 - Torres, D.F.M.
N2 - 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.
UR - https://ria.ua.pt/handle/10773/4141
Y1 - 2007
PB - Elsevier