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Extending Bauer's corollary to fractional derivatives

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David W Dreisigmeyer1 and Peter M Young2

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LETTER TO THE EDITOR

We comment on the method of Dreisigmeyer and Young J. Phys. A: Math. Gen.368297 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.


PACS

02.30.Xx Calculus of variations

MSC

70H03 Lagrange's equations

70G75 Variational methods

26A33 Fractional derivatives and integrals

Subjects

Mathematical physics

Dates

Issue 11 (19 March 2004)

Received 12 December 2003

Published 2 March 2004



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