Nonconservative Lagrangian Mechanics: A generalized function approach

Details Nonconservative Lagrangian Mechanics: A generalized function approach Nonconservative Lagrangian Mechanics: A generalized function approach

2003-06-18

arxiv.org/abs/physics/0306142v1

J.Phys.A36:8297-8310,2003

Physics

Classical Physics

To be published in Journal of Physics A: Mathematical and General, IOP Publishing Ltd. See http://www.iop.org

Scientific paper

10.1088/0305-4470/36/30/307

We 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.

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