A phenomenological approach to anomalous transport in complex or disordered media

We aim to derive a phenomenological approach link the theories of anomalous transport governed by fractional calculus and stochastic theory with conductivity behavior semi-empirical formalism involving Debye, Cole-Cole, Cole-Davidson, Havriliak-Negami type equations. want determine processes in amorphous semiconductors insulators developing theoretical over some mathematical instruments methods. In this paper, we obtain an analytical expression for average complex or disordered media via using fractional-stochastic differential equation, Fourier-Laplace transform, natural boundary-initial conditions, familiar physical relations. start equation motion called Langevin develop its equivalent master Klein-Kramers Fokker-Planck consider time-fractional generalization equation. Once then expressions mean value variables observables through calculations conditions. Finally, use these current density relation behavior.