On the Existence of Regional Optimal Control for a Class of Fractional Order Differential Inclusion

This paper is concerned with the investigation of the regional controllability of the fractional order differential inclusion (FODI). First, some preliminaries and definitions of regional controllability of the system are introduced. Then we obtained some equivalent conditions of regional controllable from the viewpoint of set relations and analyzed the regional controllability with minimum energy of a class of time fractional order differential inclusion.