  In this paper we obtain the Hermite-Hadamard and Hermite-Hadamard-Fej\'er
type inequalities for fractional integrals which generalize the two familiar
fractional integrals namely, the Riemann-Liouville and the Hadamard fractional
integrals into a single form. We prove that, in most cases, we obtain the
Riemann--Liouville and the Hadamard equivalence just by taking limits when a
parameter $\rho \rightarrow 1$ and $\rho \rightarrow 0^+$, respectively.
