Inequalities with parameters for twice-differentiable functions involving Riemann-Liouville fractional integrals

In this paper, it is given an equality for twice-differentiable functions whose second derivatives in absolute value are convex. By using this equality, it is established several left and right Hermite-Hadamard type inequalities and Simpson type inequalities for the case of Riemann-Liouville fractional integral. Namely, midpoint, trapezoid and also Simpson type inequalities are obtained for Riemann-Liouville fractional integral by using special cases of main results.