2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/163138The 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.4 pages, no figures, talk delivered at the IAU Regional Meeting, April 5-10 2008, Cairo; typo correctedQuantum PhysicsGeneral Relativity and Quantum CosmologyHigh Energy Physics - TheoryMathematical Physicstext