  We introduce a nonlocal control condition and the notion of approximate
controllability for fractional order quasilinear control inclusions.
Approximate controllability of a fractional control nonlocal delay quasilinear
functional differential inclusion in a Hilbert space is studied. The results
are obtained by using the fractional power of operators, multi-valued analysis,
and Sadovskii's fixed point theorem. Main result gives an appropriate set of
sufficient conditions for the considered system to be approximately
controllable. As an example, a fractional partial nonlocal control functional
differential inclusion is considered.
