David W Dreisigmeyer and Peter M Young 2003 J. Phys. A: Math. Gen. 36 8297 doi:10.1088/0305-4470/36/30/307
Nonconservative Lagrangian mechanics: a generalized function approach
David W Dreisigmeyer and Peter M Young
Show affiliationsWe reexamine the problem of having nonconservative equations of motion arise from the use of a variational principle. In particular, a formalism is developed that allows the inclusion of fractional derivatives. This is done within the Lagrangian framework by treating the action as a Volterra series. It is then possible to derive two equations of motion, one of these is an advanced equation and the other is retarded.
- PACS
- MSC
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45D05 Volterra integral equations (See also 34A12)
70H08 Nearly integrable Hamiltonian systems, KAM theory
65K10 Optimization and variational techniques (See also 49Mxx, 93B40)
- Subjects
- Dates
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Issue 30 (1 August 2003)
Received 29 April 2003, in final form 17 June 2003
Published 16 July 2003
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Nonconservative Lagrangian mechanics: a generalized function approach
David W Dreisigmeyer and Peter M Young 2003 J. Phys. A: Math. Gen. 36 8297
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