Fractional Noether's theorem in the Riesz-Caputo sense
Optimization and Control
2010-09-29 v1 Mathematical Physics
math.MP
Abstract
We prove a Noether's theorem for fractional variational problems with Riesz-Caputo derivatives. Both Lagrangian and Hamiltonian formulations are obtained. Illustrative examples in the fractional context of the calculus of variations and optimal control are given.
Cite
@article{arxiv.1001.4507,
title = {Fractional Noether's theorem in the Riesz-Caputo sense},
author = {Gastao S. F. Frederico and Delfim F. M. Torres},
journal= {arXiv preprint arXiv:1001.4507},
year = {2010}
}
Comments
Accepted (25/Jan/2010) for publication in Applied Mathematics and Computation