Abstract: First, the author established a RiemannLiouville fractional integral identity with parameter. Then, according to the identity, some HermiteHadamard type fractional integral inequalities with parameter for harmonically quasiconvex functions involving RiemannLiouville fractional integral were established by using power mean inequality and Hlder inequality.

Key words: Hadamard’[KG-*4]s inequality, parameter, harmonically quasiconvex function, RiemannLiouville fractional integral