Hermite-Hadamard's inequalities for conformable fractional integrals

Abstract

In this paper, we establish the Hermite-Hadamard type inequalities for conformable fractional integral and we will investigate some integral inequalities connected with the left and right-hand side of the Hermite-Hadamard type inequalities for conformable fractional integral. The results presented here would provide generalizations of those given in earlier works and we show that some of our results are better than the other results with respect to midpoint inequalities.

Keywords

• Hölder's inequality
• fractional derivative
• factional integral
• Confromable fractional integrals
• trapezoid inequality
• midpoint inequality.