David W Dreisigmeyer and Peter M Young 2004 J. Phys. A: Math. Gen. 37 L117 doi:10.1088/0305-4470/37/11/L01
David W Dreisigmeyer1 and Peter M Young2
Show affiliationsWe 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.
Issue 11 (19 March 2004)
Received 12 December 2003
Published 2 March 2004
David W Dreisigmeyer and Peter M Young 2004 J. Phys. A: Math. Gen. 37 L117
N van Wieringen et al 1996 Phys. Med. Biol. 41 2367
Martin Wolf 2007 Class. Quantum Grav. 24 6287
Brian Wecht 2007 Class. Quantum Grav. 24 S773
Kenneth Hong and Edward Teo 2003 Class. Quantum Grav. 20 3269
L Marder 1978 J. Phys. D: Appl. Phys. 11 2489
I W Hamley 2003 Nanotechnology 14 R39
K R Shortt et al 1993 Phys. Med. Biol. 38 1937
John G Baker et al 2007 Class. Quantum Grav. 24 S25
J Korbicz and J Tafel 2004 Class. Quantum Grav. 21 3301