A complex fractional-calculus Lagrangian with a new contour derivative is constructed to yield the velocity-proportional friction force and the energy dissipation law.
Riewe,Nonconservative Lagrangian and Hamiltonian mechanics, Physical Review E, vol
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The principle of stationary action and Lagrangian for dissipative dynamics with velocity-proportional frictional force
A complex fractional-calculus Lagrangian with a new contour derivative is constructed to yield the velocity-proportional friction force and the energy dissipation law.