A continuous/discrete fractional Noether's theorem

Details A continuous/discrete fractional Noether's theorem A continuous/discrete fractional Noether's theorem

2012-03-06

arxiv.org/abs/1203.1206v1

Mathematics

Dynamical Systems

13 pages, 2 figures

Scientific paper

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.

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