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Based on a new stability result of equilibrium point in nonlinear fractional-order systems for fractional-order lying in 1 <  q  < 2, one adaptive synchronization approach is established. The adaptive synchronization for the fractional-order Lorenz chaotic system with fractional-order 1 <  q  < 2 is considered. Numerical simulations show the validity and feasibility of the proposed scheme.

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One Adaptive Synchronization Approach for Fractional-Order Chaotic System with Fractional-Order<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M1"><mml:mn>1</mml:mn><mml:mo>&lt;</mml:mo><mml:mi>q</mml:mi><mml:mo>&lt;</mml:mo><mml:mn>2</mml:mn></mml:math>

One Adaptive Synchronization Approach for Fractional-Order Chaotic System with Fractional-Order1<q<2