Fractional calculus is the field of mathematical analysis that investigates and applies integrals and derivatives of arbitrary order. Fractional q-calculus has been investigated and applied in a variety of research subjects including the fractional q-trapezoid and q-midpoint type inequalities. Fractional \((p,q)\)-calculus on finite intervals, particularly the fractional \((p,q)\)-integral inequalities, has been studied. In this paper, we study two identities for continuous functions in the form of fractional \((p,q)\)-integral on finite intervals. Then, the obtained results are used to derive some fractional \((p,q)\)-trapezoid and \((p,q)\)-midpoint type inequalities.

分数阶微积分是研究和应用任意阶积分和导数的数学分析领域。分数q演算已被研究并应用于各种研究课题，包括分数q梯形和q中点型不等式。已经研究了有限区间上的分数\((p,q)\) -演算，特别是分数\((p,q)\) -积分不等式。在本文中，我们研究了有限区间上分数\((p,q)\) -积分形式的连续函数的两个恒等式。然后，将获得的结果用于推导一些分数\((p,q)\) -trapezoid 和\((p,q)\)-中点类型不等式。