In this paper, we establish the generalized Riemann–Liouville (RL) fractional integrals
in the sense of another increasing, positive, monotone, and measurable function Ψ .
We determine certain new double-weighted type fractional integral inequalities by
utilizing the said integrals. We also give some of the new particular inequalities of the
main result. Note that we can form various types of new inequalities of fractional
integrals by employing conditions on the function Ψ given in the paper. We present
some corollaries as particular cases of the main results.