Game problems for fractional quasilinear systems

Game problems for fractional quasilinear systems

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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: ,
Abstract:

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.

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