Journal
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION
Volume 18, Issue 4, Pages 878-887Publisher
ELSEVIER SCIENCE BV
DOI: 10.1016/j.cnsns.2012.09.003
Keywords
Lagrangian systems; Noether's theorem; Symmetries; Fractional calculus
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We prove a fractional Noether's theorem for fractional Lagrangian systems invariant under a symmetry group both in the continuous and discrete cases. This provides an explicit conservation law (first integral) given by a closed formula which can be algorithmically implemented. In the discrete case, the conservation law is moreover computable in a finite number of steps. (C) 2012 Elsevier B.V. All rights reserved.
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