The determination of micro-vascular invasion (MVI) in patients with hepatocellular carcinoma (HCC) is significant for prognostic prediction. However, histologic assessment is the gold standard for evaluating the MVI, which is accompanied with many disadvantages including invasiveness, potential sampling bias and so forth. DWI MRI has shown clinical potential for assessing the MVI. However, some recently-developed non-gaussian DWI techniques have hardly been applied for predicting the MVI. This research, hence, sought to evaluate the MVI with a Fractional Order Calculus DWI Model (FROC-DWI). The results indicated that FROC-derived parameters were valuable for accurately identifying the MVI in patients with HCC.