Taylor and Francis Group, International Journal of Control, 6(90), p. 1212-1220, 2016
DOI: 10.1080/00207179.2016.1163619
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This paper is devoted to analyzing the actuator characterizations for the fractional sub-diffusion equation under consideration to become approximately controllable. Two different cases are considered, where the control inputs emerge in the differential equation as distributed inputs and as boundary inputs in the boundary conditions. The dual system for fractional sub-diffusion equation is solved and the necessary and sufficient conditions for the approximate controllability of the system are established. Several examples are worked out in the end to illustrate our results.