  The idea that the quantum space-time of microphysics may be fractal
everywhere was intensively investigated recently, and several authors have
presented the geodesic equations of different fractal space - times. In the
present work we obtain the geodesic and the geodesic deviation equations in
fractal space-times by using the Bazanski method. We also extend this approach
to obtain the equations of motion for spinning and spinning charged particles
in the above-mentioned spaces, in a similar way to their counterparts in
Riemannian geometry.
