Modeling of the formation of warm thunderstorms taking into account the fractality of the cloud environment

The paper considers a model of the formation of "warm" thunderstorms, taking into account the fractal structure of the cloud environment, based on a partial differential equation of fractional order with respect to a time variable. The solution of the model equation is found analytically. The solution of the model is found in an analytical form. The impact of fractal media on charge accumulation and electric field strength in warm thunderstorms is shown using numerical calculations. The data obtained confirm that the electrophysical processes occurring in warm thunderstorms are closely related to the fractal parameters.