Anomalous Diffusion and Surface Effects on the Electric Response of Electrolytic Cells

We propose an anomalous diffusion approach to analyze the electrical impedance response of electrolytic cells using time-fractional derivatives. establish, in general terms, conservation laws connected a modified displacement current entering fractional formulation Poisson–Nernst–Planck (PNP) model. In this new formalism, we obtain analytical expressions for case blocking electrodes and presence integrodifferential boundary conditions including derivatives distributed order. A conceptual scenario thus emerges aimed at exploring surface effects on cell external stimulus.