Mathematical Modeling of Evolution of Cloud Drops Taking into Account the Influence of the Fractal Structure of Clouds

Based of a differential equation of fractional order, we examine the influence of the fractal structure of the environment on the growth of small cloud drops at the initial stage of the cloud evolution caused by the condensation and the gravitational coagulation of drops. We construct a model of electrodynamic coagulation of drops in the cloud environment with fractal structure under the action of an electric field. Numerical experiments were carried out to estimate the influence of the fractal structure of the environment on the growth of cloud particles for various combinations of microphysical parameters. The general dependence of the growth of cloud particles on various parameters of the fractal structure is determined.