In our article, we are primarily concentrating on approximate controllability results for nondensely defined fractional neutral stochastic differential systems. By applying the results and ideas belongs to fractional calculus, multivalued maps and fixed point approach, the main results are established. Initially, we establish the approximate controllability of the considered fractional system, then continue to examine the system with infinite delay. In the end, we present an example to demonstrate the theory. © 2020 Wiley Periodicals LLC.