Extending Bauer's corollary to fractional derivatives
David W. Dreisigmeyer, Peter M. Young
Abstract
We comment on the method of Dreisigmeyer and Young [D. W. Dreisigmeyer and P. M. Young, J. Phys. A 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.
Create a lesson
Related papers
Impact of Phase Unwrapping on Multitarget Acoustic Lenses for Transcranial Holography
D. Attali, T. Tiennot, M. Tanter et al.
Harmonic Vector Fields and Betti Numbers in Bounded Three-Dimensional Electromagnetic Domains
Wei Jiang, Jie Liu
Increase of the electromechanical coupling of piezoelectric vibration harvesters through lateral bars
David Gibus, Grégoire Forges, Hélène Debéda et al.
Sliding contact fraction in gravity-driven dense cohesionless granular flows
Patrick Richard, Riccardo Artoni, Clovis Lambert et al.
Contact mechanics and friction of soft materials: an apparatus combining multi-axes dynamical actuation/measurement and in situ/in operando visualisation
Matthieu Guibert, Antoine Aymard, Cristobal Oliver et al.
Plasmonics at radio frequencies
Igor I. Smolyaninov, Quirino Balzano, John Mulholland et al.