Abstract
The objective of this paper is to derive Hermite-Hadamard type inequalities for several higher order strongly h-preinvex functions via Riemann-Liouville fractional integrals. These results are the generalizations of the several known classes of preinvex functions. An identity associated with k-times differentiable function has been established involving Riemann-Liouville fractional integral operator. A number of new results can be deduced as consequences for the suitable choices of the parameters h and sigma. Our outcomes with these new generalizations have the abilities to be implemented for the evaluation of many mathematical problems related to real world applications.