<p>The control issue is discussed for uncertain nonlinear fractional-order systems (FOSs). In order to approximate the uncertainties existing in FOSs, fuzzy logic systems (FLSs) can be introduced and the novel fractional-order serial-parallel estimation models (FSEMs) are designed to reform the estimated behavior of FLSs. In order to prevent the issue of computational complexity induced by repeated differentiation of the indirect controller, the developed finite-time fractional-order estimators are utilized to fit the derivative value of indirect controller and the system external disturbances are compensated effectively by using the proposed fractional-order disturbance observers. The stability analysis shows that the developed adaptive fuzzy finite-time composite control protocol assure the states are bounded and the tracking error tends to a neighborhood of zero in the finite time. Eventually, the simulation examples are given to show the availability of the developed scheme.</p>