<p>Optimization of fractional impulsive switched systems has various applications. In this paper, we address the dynamic optimization problem of a class of fractional impulsive switched systems, where a set of system parameters and the switching instants are decision variables to minimize a given cost functional. For this problem, we first convert these variable switching instants into the fixed instants in a new time horizon by using a proposed time-scaling transformation. This gives rise to an equivalent optimization problem with the fixed switching instants. Then, we prove that the cost functional’s gradients can be represented by the solutions of a series of auxiliary fractional impulsive systems. Furthermore, numerical schemes for solving the equivalent and auxiliary fractional impulsive system are presented. On this basis, we develop a gradient-based optimization approach to solve the dynamic optimization problem. At last, numerical results of three non-trivial examples illustrate the applicability and effectiveness of the developed optimization approach.</p>