Langevin Equation Based on Deformed Derivatives

In this contribution we can consider that the dynamical evolution of the granular system follows possible anomalous dynamics, characterized by different dynamical equations and with the presence of dissipation intrinsically. By this justification, we generalize the Langevin Equations (LE), to describe granular gases dynamics as dissipative systems and, for such intend we consider different forms of deformed derivatives (DD) as derivatives which are included in the kinetic equations. As a consequence of this description, the geometry of phase-space, implicit in the choice of DD by the mapping to fractal continuous, has deep influence in the form of the solutions for the corresponding deformed LE. We claim that the dynamical evolution of the granular system follows possible anomalous dynamics, characterized by different dynamical equations and with the presence of dissipation intrinsically. By this justification, we generalize the Langevin Equations (LE), to describe granular gases dynamics as dissipative systems and, for such intend we consider different forms of DD as derivatives which are included in the kinetic equations.