  In this study, we establish a new integral inequalities of Hermite-Hadamard
type for $s$-convexity via Katugampola fractional integral. This generalizes
the Hadamard fractional integrals and Riemann-Liouville into a single form. We
show that the new integral inequalities of Hermite-Hadamard type can be
obtained via the Riemann-Liouville fractional integral. Finally, we give some
applications to special means.
