This review article aims to stress and reunite some of the analytic formalism of the
anomalous diffusive processes that have succeeded in their description. Also, it has the …

Providing an introduction to the theory of nonlinear Fokker-Planck equations, this book
discusses fundamental properties of transient and stationary solutions, emphasizing the …

A general type of nonlinear Fokker-Planck equation is derived directly from a master
equation, by introducing generalized transition rates. The H theorem is demonstrated for …

Boltzmann introduced in the 1870s a logarithmic measure for the connection between the
thermodynamical entropy and the probabilities of the microscopic configurations of the …

In a comparative study, the q-exponential and Weibull distributions are employed to
investigate frequency distributions of basketball baskets, cyclone victims, brand-name drugs …

We discuss the anomalous diffusion associated with a nonlinear fractional Fokker–Planck
equation with a diffusion coefficient D∝| x|− θ (θ∈ R). Two classes of exact solutions are …

The introduction of controlled gradients in plastic properties is known to influence the
resistance to damage and cracking at contact surfaces in many tribological applications. In …

Platinum is deposited into porous carbon materials relevant for fuel cell electrodes using
plasma sputtering techniques. The resulting platinum concentration profile extends up to 2 …

A large variety of microscopic or mesoscopic models lead to generic results that
accommodate naturally within Boltzmann–Gibbs statistical mechanics [based on S 1≡− k∫ …

We discuss two fundamental aspects of Fokker–Planck equations that are nonlinear with
respect to probability densities. First, we show that evolution equations of this kind describe …