Hermite–Hadamard type inequalities for fractional integrals via Green’s function

In the article, we establish the left Riemann-Liouville fractional Hermite-Hadamard type inequalities and the generalized Hermite-Hadamard type inequalities by using Green's function and Jensen's inequality, and present several new Hermite-Hadamard type inequalities for a class of convex as well as monotone functions.