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Extending Bauer's corollary to fractional derivatives

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JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL
卷 37, 期 11, 页码 L117-L121

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IOP PUBLISHING LTD
DOI: 10.1088/0305-4470/37/11/L01

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We comment on the method of Dreisigmeyer and Young (2003 J. Phys. A: Math. Gen. 36 8297) 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.

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