Article ID: | iaor2004652 |
Country: | United Kingdom |
Volume: | 44 |
Issue: | 7 |
Start Page Number: | 835 |
End Page Number: | 851 |
Publication Date: | Oct 2002 |
Journal: | Computers & Mathematics with Applications |
Authors: | Chikrii A.A., Eidelman S.D. |
We present a general method for solving game problems of approach for dynamical systems with Volterra evolution. This method is based on the method of resolving functions and uses the apparatus of the theory of set-valued mappings. In more detail, we study game problems for systems with Riemann–Liouville fractional derivatives and regularized derivatives of Dshrbashyan–Nersesyan (fractal games) on the basis of the generalized matrix functions of Mittag–Leffler introduced here.