In order to solve the problem that predict the measure increase production under the influence of multiple factors. A fractional order differential simulation prediction model was established based on fractional - order theory, grey model theory and intelligent optimization theory. The model overcomes the defects of the measure data non-linearity, multi-factor and poor applicability. The model can predict measure increase production for different well stimulation. The results show that the new model predictive effect is superior to other methods through practical example compared. It is concluded that the prediction model is suitable for the prediction of oilfield measures to increase production.