  The friction force is derived using fractional calculus by considering the
non-uniform flow of time in dissipative processes. The approach incorporates
inhomogeneous velocity without unphysical approximations, resulting in a
Lagrangian where the order of fractional derivatives measures time intervals.
The fractional term in the Lagrangian provides correct Euler-Lagrange, and
ultimately, the Hamilton equations, and vanishes during energy change
measurements, like a ghost.
