This paper deals with fractional-order reset control systems and their stability. The possibilities of use of a new fractional-order proportional-Clegg integrator (FPCI) in reset applications are investigated. The key feature of this controller is to tune its order 伪 to achieve an optimized system performance, especially referred to avoid the Zeno solution. The stability of reset control systems is generalized for such fractional-order systems. Fractional- and integer-order reset controllers are designed and compared for the velocity control of a servomotor. Simulated and experimental results are given to show the benefits of using FPCI on the servomotor performance.