Abstract
In this research article, authors have established a general integral identity for Riemann-Liouville fractional integrals. Some new results related to the left-hand side of Hermite-Hadamard type integral inequalities utilizing this integral identity for the class of functions whose second derivatives at some power are P-convex are obtained.The presented results have some closely connection with [M. E. Ozdemir, C. Yildiz, A. O. Akdemir, E. Set, On some inequalities for s-convex functions and applications, Jounal of Inequalities and Applications, 2013:333]