Porous Functions Toolbox for MATLAB

A new mathematical tool, porous functions, has been suggested recently (Podlubny, I., ”Porous Functions”, Fractional Calculus & Applied Analysis, vol. 22, no. 6, pp. 1502-1516, 2019). In this paper we introduce the Porous Functions Toolbox for MATLAB, which serves for evaluation of porous functions, their visualization, and basic operations with such functions in one-and two-dimensional case. The fields of potential application of these new tools include granular materials; colloids, liquid crystals, emulsions, foams; polymers, textiles, rubber, glass; rock layers, sediments, oil, soil; biopolymers and biological materials, etc. Most recently, fractional-order elements and controllers are manufactured using various kinds of layered and fractal-like structures, graphenes, nanocomposites, and MXenes, which can be modeled using the porous functions approach.