Title:

VOLTERRA SERIES FRACTIONAL LAGRANGIAN MECHANICS

Abstract:

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.