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In the past three decades, fractional calculus has attracted great interest of researchers in many areas.At the same time, some fractional nonlinear systems have been found to exhibit chaos and hyperchaos.As a result,control and synchronization of these fractional chaotic systems, which have potential applications in secure communications, data encryption, and so on, become a novel and essential topic.In this paper, we investigate the control problem and synchronization issue of fractional chaotic systems which can be converted into the so-called general strict-feedback form via backstepping design.Firstly, based on the continuous frequency distributed model of the fractional integrator and control Lyapunov functions, stabilizing controllers are designed respectively for control and synchronization of fractional chaotic Genesio-Tesi systems.Further, the parameters in the systems are assumed to be unknown, which is usual in real world applications.To tackle with synchronization between the fractional chaotic Genesio-Tesi systems with fully unknown parameters, adaptive backstepping control design is proposed.This approach offers a systematic design procedure for control of a variety of fractional systems which can be transformed into the strict-feedback form.It only requires only a single controller.Finally, numerical simulations are performed to show the viability and effectiveness of the approach.