On a fractional continuous counterpart of Fornasini–Marchesini model

Inhalt:
In the paper, we consider a fractional continuous Fornasini–Marchesini problem. We characterize functions of two variables possessing a mixed fractional partial derivative which involves the proposed model of Fornasini–Marchesini. The main results are theorems on the existence and continuous dependence of solutions on controls for the aforementioned system.