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Extending Bauer's corollary to fractional derivatives
2004
Journal of Physics A: Mathematical and General
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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.
doi:10.1088/0305-4470/37/11/l01
fatcat:65b3kb4qxbbyxic5vh3n7fymde