Muhammad Qais Ali (FA20-BSM-055) : Raheel Abbas (FA20-BSM-052)Dr. Saad Ihsan ButtLHR TP 99192026-01-062025https://repository.cuilahore.edu.pk/handle/123456789/208Fractional integral operator generalize the classical concept of integration to non-integer or ders.In our work, first we establish the Hermite-Hadamard’s inequality via Multiplicative Caputo-Frabrizio operator then using this inequality we establish Mid-point, Trapezoidal equalities. After that we establish our main lemma by using this lemma we establish dif ferent result like, Power mean inequality, Holder inequality and absolute value inequality. BYusing these inequalities we obtain new error estimates.enDr. Saad Ihsan ButtMATHEMATICSFabrizio Integral operatorThesis