Extending Bauer's corollary to fractional derivatives

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.

Accepted Journal of Physics A at www.iop.org/EJ/journal/JPhysA

References in corpus (2)

• Nonconservative Lagrangian Mechanics: A generalized function approach
• Simple strong glass forming models: mean-field solution with activation

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