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Fractional Calculus in Electrical Impedance Spectroscopy: Poisson – Nernst – Planck model and Extensions

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We review some analytical results obtained in the context of the fractional calculus for the electrical spectroscopy impedance, a technique usually employed to interpret experimental data regarding the electrical response… Click to show full abstract

We review some analytical results obtained in the context of the fractional calculus for the electrical spectroscopy impedance, a technique usually employed to interpret experimental data regarding the electrical response of an electrolytic cell. We start by reviewing the main points of the standard Poisson – Nernst – Planck model. After, we present an extension that incorporates fractional time derivatives of distributed order to the diffusion equation. Then, we include fractional time derivatives on the boundary conditions in order to face the problems that are characterized, in the low frequency

Keywords: calculus electrical; planck model; nernst planck; fractional calculus; spectroscopy; poisson nernst

Journal Title: International Journal of Electrochemical Science
Year Published: 2017

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