Reply to: Comments on “Particle Swarm Optimization with Fractional-Order Velocity”

Abstract

We agree with Ling-Yun et al. [5] and Zhang and Duan comments [2] about the typing error in equation (9) of the manuscript [8]. The correct formula was initially proposed in [6,7]. The formula adopted in our algorithms discussed in our papers [1,3,4,8] is, in fact, the following:The results in [5] and [8] are not directly comparable. In [5], the charts are obtained by running a single test; while in [8], the charts are obtained by the median of 201 simulations tests. It should be noted that we