Complete controllability of fractional evolution systems

The paper is concerned with the complete controllability of fractional evolution systems without involving the compactness of characteristic solution operators introduced by us. The main techniques rely on the fractional calculus, properties of characteristic solution operators and fixed point theorems. Since we do not assume the characteristic solution operators are compact, our theorems guarantee the effectiveness of controllability results in the infinite dimensional spaces.

► Complete controllability of fractional evolution systems is studied.
► Compactness of characteristic solution operators are replaced.
► Effectiveness of controllability results are guaranteed.