A continuous/discrete fractional Noether's theorem
Dynamical Systems
2016-01-14 v2
Abstract
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.
Cite
@article{arxiv.1203.1206,
title = {A continuous/discrete fractional Noether's theorem},
author = {Loïc Bourdin and Jacky Cresson and Isabelle Greff},
journal= {arXiv preprint arXiv:1203.1206},
year = {2016}
}
Comments
This is a preprint of a paper whose final and definite form is published in Nonlinear Sciences and Numerical Simulations