On the Problem of Pursuit of the Fractional Order in a Dynamic System with Nonlinear Controls

Abstract

This article discusses the problem of expanding the results for fractional differential games and optimal control systems. Fractional order management allows ensuring the quality and safety of products, environmental process control. Solving the pursuit problem, we rely on the Pontryagin methods developed for linear differential games of entire orders, and we obtain new sufficient conditions for solving the pursuit problem.