In our article, we primarily concentrating on approximate controllability results for fractional integro-differential equations of order 1 < r < 2. By applying the results and ideas belongs to fractional calculus, and the fixed-point approach, the main results are established. Initially, we establish the approximate controllability of the considered fractional evolution equations, then continue to examine the system with the concept of nonlocal conditions. Finally, we present an example to demonstrate the obtained theory. © 2020 Wiley Periodicals LLC