shashi kant mishra

The main aim of the present paper is to establish a new form of Hermite-Hadamard inequalities using left and right-sided ψ-Riemann-Liouville fractional integrals for preinvex functions and present two basic results of ψ-Riemann-Liouville fractional integral identities including the first-order derivative of a preinvex function. We derive some fractional Hermite-Hadamard inequalities with the help of these results. Further, we pointed out some applications for special means.