Relativistic Plastino-Plastino Equation

The Plastino-Plastino Equation (PPE) is essential in non-extensive statistics in the study of systems that exhibit anomalous diffusion and do not fit conventional statistics, thus being a nonlinear extension of the Fokker-Planck Equation (FPE). This equation has been applied in various fields of physics (Cosmology, astrophysics and hadrons, specifically in Quark-Gluon Plasma) and other disciplines. In this work, a relativistic approach will be carried out on a system of particles for which the relativistic Boltzmann equation is obtained. Here, grazing collisions are considered to obtain the FPE integrated with special relativity. Subsequently, through fractal derivations, a modification of the FPE is made, resulting in the PPE in a relativistic context.