To accurately describe the linear viscoelastic properties of asphalt and asphalt mastic, the authors proposed a fractional differential constitutive model called the generalized fractional differential Zener (GFDZ) model. Then, by means of the GFDZ model, the dynamic and static viscoelastic properties of two kinds of asphalt and two kinds of asphalt mastic were described and predicted. Finally, the GFDZ model was compared with the modified CAM (mCAM) model and 2S2P1D model. The results show that the GFDZ model can simultaneously and accurately characterize the dynamic and static viscoelastic properties of asphalt or asphalt mastic using a set of model parameters. The GFDZ model overcomes the deficiencies of the mCAM model and 2S2P1D model, and provides a reference for the characterization and constitutive description of the linear viscoelastic properties of asphalt and asphalt mastic.

为了准确描述沥青和沥青胶泥的线性粘弹性，作者提出了一种称为广义分数微分齐纳 (GFDZ) 模型的分数微分本构模型。然后，借助GFDZ模型，对两种沥青和两种沥青胶浆的动、静态粘弹性能进行了描述和预测。最后，GFDZ 模型与修改后的 CAM (mCAM) 模型和 2S2P1D 模型进行了比较。结果表明，GFDZ 模型可以使用一组模型参数同时准确地表征沥青或沥青胶泥的动态和静态粘弹性。GFDZ模型克服了mCAM模型和2S2P1D模型的不足，