One of the main motivation points in studies on inequalities is to obtain generalizations and to introduce new approaches. In this direction, the generalized fractional integral operators defined within the scope of fractional analysis are quite functional. In this paper, some new integral inequalities have been proved by using generalized fractional integral operators and some classical inequalities for integrable functions. In the proofs of the main findings, the definitions of the generalized fractional integral operator, certain classical relations, and some classical inequalities are used.