Dynamic game problems of approach for fractional-order equations (Q2730518)

The authors propose a general method of solving game problems of approach for dynamical systems with the Volterra evolution. The method is based on the use of decision functions and employs the techniques of multi-valued mappings. In particular, the evolutions governed by fractional differential systems with the Riemann-Liouville fractional derivatives and the Dzhrbashyan-Nersessyan regularized fractional derivatives are considered. The essential tools are matrix-functions of Mittag-Leffler type. For some model examples an explicit value of the end time of a game is found.