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Nonconservative Lagrangian mechanics: a generalized function approach

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, no. 30 (2003): 8297-8310

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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 equat...更多

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