The nonextensive statistical mechanics proposed by Tsallis is today an intense and growing research field. Probability distributions which emerges from the nonextensive formalism (q-distributions) have been applied to an impressive variety of …
We devote this work to investigate the solutions of a N-dimensional nonlinear fractional diffusion equation which emerges from the continuity equation by considering a nonlinear fractional generalization of Darcy law and incorporating an absorbent …
A family of entropy indices constructed in the framework of Tsallis entropy formalism is used to investigate ecological diversity. It represents a new perspective in ecology because a simple equation can incorporate all aspects of adiversity, from …
We investigate an N-dimensional fractional diffusion equation with radial symmetry by taking a spatial and time dependent diffusion coefficient into account, i.e., D(r,t) = D(t)r^(-n) with D(t) = D delta(t) + D(t). The equation is considered in a …
The diffusive process of dispersed particles in a semi-infinite cell of an anisotropic fluid limited by an adsorbing surface is theoretically investigated. The densities of bulk and surface particles are analytically determined, taking into account the …