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This article aims to investigate the solution of the fractional Troesch's equation that models the mechanism of current generation in porous electrodes by numerical integration of its equivalent power-form representation and by deriving its approximate Taylor series solution. Simulation results compare to experimental data demonstrate that the overpotential distribution and efficiency within a porous electrode, from the bottom to the top of the bed is predicted by using Troesch's fractal overpotential diffusion equation, when the fractal parameter values are α ≥ 1.2618 for a porous electrode that follows the Hausdorff dimension, or α ≥ 1.236 for El Naschie's fractal space-time. • An equation that models the mechanism of current generation in porous electrodes is investigated. • The equivalent representation power-form expression for Troesch's equation is derived • Two scale dimension transform is used to study fractal Troesch's equation. • The Taylor series method is used to solve the equivalent power-form representation of Troesch's equation. [ABSTRACT FROM AUTHOR]