  We derive approximate iterative analytical solutions of the non-extensive
Boltzmann transport equation in the relaxation time approximation. The
approximate solutions almost overlap with the exact solution for a considerably
wide range of the parameter values found in describing particle spectra
originated in high-energy collisions. We also discuss the Landau kinetic
approximation of the non-extensive Boltzmann transport equation and the
emergence of the non-extensive Fokker-Planck equation, and use it to estimate
the drag and diffusion coefficients of highly energetic light quarks passing
through a gluonic plasma.
