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arXiv · 1203.1206

A continuous/discrete fractional Noether's theorem

Loïc Bourdin·Jacky Cresson·Isabelle Greff
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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.

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Loïc Bourdin, Jacky Cresson, Isabelle Greff. 2012-03-06. A continuous/discrete fractional Noether's theorem. https://arxiv.org/abs/1203.1206

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