May 12th, 2018

A nonlinear Fokker-Planck equation approach for interacting systems: Anomalous diffusion and Tsallis statistics

We investigate the solutions for a set of coupled nonlinear Fokker–Planck equations coupled by the diffusion coefficient in presence of […]

February 26th, 2018

Nonlinear Diffusion Equation with Reaction Terms: Analytical and Numerical Results

We investigate a process obtained from a combination of nonlinear diffusion equations with reaction terms connected to a reversible process, […]

October 13th, 2017

The role of fractional time-derivative operators on anomalous diffusion

The generalized diffusion equations with fractional order derivatives have shown be quite efficient to describe the diffusion in complex systems, […]

May 14th, 2017

Ion Motion in Electrolytic Cells: Anomalous Diffusion Evidences

In this study, we argue that ion motion in electrolytic cells containing Milli-Q water, weak electrolytes, or liquid crystals may […]

January 9th, 2017

Asymptotic behaviors of the Poisson-Nernst-Planck model, generalizations and best adjust of experimental data

We analyze the asymptotic behavior of the impedance (or immittance) spectroscopy response of an electrolytic cell in a finite-length situation […]

November 10th, 2016

Anomalous diffusion and transport in heterogeneous systems separated by a membrane

Diffusion of particles in a heterogeneous system separated by a semipermeable membrane is investigated. The particle dynamics is governed by […]

March 24th, 2016

Transient superdiffusion and long-range correlations in the motility patterns of trypanosomatid flagellate protozoa

We report on a diffusive analysis of the motion of flagellate protozoa species. These parasites are the etiological agents of […]

February 14th, 2016

Fractional diffusion equations coupled by reaction terms

We investigate the behavior for a set of fractional reaction–diffusion equations that extend the usual ones by the presence of […]

September 3rd, 2015

Solutions for a sorption process governed by a fractional diffusion equation

We investigate a sorption process where one substance spreads out through another having possibility of chemical reaction between them. So […]

April 4th, 2015

Electrolytic cell containing different groups of ions with anomalous diffusion approach

The electrical response of an electrolytic cell containing more than one group of ions is investigated under the fractional approach […]