Abstract
This work mainly investigates a class of convex interval-valued functions via the Katugampola fractional integral operator. By considering thep-convexity of the interval-valued functions, we establish some integral inequalities of the Hermite-Hadamard type and Hermite-Hadamard-Fejer type as well as some product inequalities via the Katugampola fractional integral operator. In addition, we compare our results with the results given in the literature. Applications of the main results are illustrated by using examples. These results may open a new avenue for modeling, optimization problems, and fuzzy interval-valued functions that involve both discrete and continuous variables at the same time.