Construction of function of influence of digital impact on socio-economic ecosystem of the region

The article analyzes indicators and identifiers reflecting the process of digitalization of the Russian economy, including the regional one. The concept of a digital impact is introduced, enhancing, by objective necessity, digital transformation. On the basis of a differential equation of fractional order, a mathematical model is built that reflects the dependence of the influence of the force of a digital impact on the socio-economic ecosystem of the region and the rate of its growth