In the paper, firstly, a new fractional integral identity is obtained. Then, some new results related to the left side of Fejr's inequality for differentiable mappings whose derivatives in absolute value are convex via fractional integral operator, using this identity with fundamental inequalities such as Hlder's integral inequality, power-mean inequality and triangle inequality for integral, are presented. The results presented here would provide extensions of those proved in
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Set et al. (2017) studied this question.
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