On Fractional Variational Problems which Admit Local Transformations
Optimization and Control
2012-03-13 v1
Abstract
We extend the second Noether theorem to fractional variational problems which are invariant under infinitesimal transformations that depend upon arbitrary functions and their fractional derivatives in the sense of Caputo. Our main result is illustrated using the fractional Lagrangian density of the electromagnetic field.
Cite
@article{arxiv.1203.2102,
title = {On Fractional Variational Problems which Admit Local Transformations},
author = {Agnieszka B. Malinowska},
journal= {arXiv preprint arXiv:1203.2102},
year = {2012}
}
Comments
This is a preprint of a paper whose final and definite form will be published in: Journal of Vibration and Control. arXiv admin note: text overlap with arXiv:1108.3493 by other author