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This paper is mainly concerned with the exact controllability for a class of impulsive <inline-formula><math display="inline"><semantics><mi>ψ</mi></semantics></math></inline-formula>-Caputo fractional evolution equations with nonlocal conditions. First, by generalized Laplace transforms, a mild solution for considered problems is introduced. Next, by the Mönch fixed point theorem, the exact controllability result for the considered systems is obtained under some suitable assumptions. Finally, an example is given to support the validity of the main results.