Extending Bauer's corollary to fractional derivatives
Classical Physics
2009-11-10 v2 General Physics
Abstract
We comment on the method of Dreisigmeyer and Young [D. W. Dreisigmeyer and P. M. Young, J. Phys. A \textbf{36}, 8297, (2003)] to model nonconservative systems with fractional derivatives. It was previously hoped that using fractional derivatives in an action would allow us to derive a single retarded equation of motion using a variational principle. It is proven that, under certain reasonable assumptions, the method of Dreisigmeyer and Young fails.
Keywords
Cite
@article{arxiv.physics/0312085,
title = {Extending Bauer's corollary to fractional derivatives},
author = {David W. Dreisigmeyer and Peter M. Young},
journal= {arXiv preprint arXiv:physics/0312085},
year = {2009}
}
Comments
Accepted Journal of Physics A at www.iop.org/EJ/journal/JPhysA