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Consider a controllable linear fractional control system of the form.
Furthermore, the results on the approximate controllability of fractional control systems are derived.
Next, we present the approximate controllability of fractional control system (1.1).
In Section 3, we prove the existence and approximate controllability of fractional control system (1.1).
In the present paper, we study approximate controllability of fractional control system (1.1) by using the analytic resolvent method and the uniform continuity of the resolvent.
In Section 2, we recall some definitions of Caputo fractional derivatives, analytic resolvent, mild solutions to equation (1.1) and the concept of approximate controllability of fractional control systems.
Similar(9)
Fractional power control and admission control for the uplink have been studied in [46, 47], respectively.
The approximate controllability of fractional nonlocal control system (1.1) is discussed in Section 4.
In Section 4 we establish the approximate controllability of fractional impulsive control system (1.1 - 1.3 1.1 - 1.3
This proves the approximate controllability of fractional nonlocal control system (1.1).
In [13], Bahaa studied the fractional optimal control problem for variational inequalities with control constraints.
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