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Generalized entropy indices to measure α- and β-diversities of macrophytes

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 …

Some results for a fractional diffusion equation with radial symmetry in a confined region

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 …

Anomalous diffusion and the adsorption-desorption process in anisotropic media

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 …