Nonconservative Lagrangian Mechanics: A generalized function approach
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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.
To be published in Journal of Physics A: Mathematical and General, IOP Publishing Ltd. See http://www.iop.org
To be published in Journal of Physics A: Mathematical and General, IOP Publishing Ltd. See http://www.iop.org