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Recently, fractional calculus has proved to be a powerful tool for study of interesting facts in different fields of sciences. It plays an important role in many physical phenomenon including nonlinear oscillations of earthquakes, and flow of seepage in the porous medium. It is also used in modeling in fluid dynamics. Let g : I ⊆ R → R be a convex function and x1, x2 ∈ I with x1 < x2, then g x1 + x2 2 ¶ 1 x2 − x1 ∫ x2

New Hermite-Hadamard-Fejér type inequalities for (η1, η2)-convex functions via fractional calculus