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This paper proposes adaptive sliding mode control for the 4-D fractional Lorenz-Stenflo hyperchaotic system via sliding mode control technique.Firstly,we construct a fractional sliding surface based on the continuous frequency distributed model of the fractional integrator and Lyapunov stability.Then,we design a single sliding control law for suppression of the nominal plant.Further,we propose adaptive sliding control for the system in the presence of uncertainty and external noises.Finally,numerical simulations are carried out to verify the efficiency of the theoretical results.