主要研究分数阶微积分理论在粘弹性材料中的建模与应用，心血管疾病计算流体力学数值模拟以及风险评估
主要论文及专利：
[1] Yang W D, Chen X H, Zhang X R, et al. Flow and heat transfer of double fractional Maxwell fluids over a stretching sheet with variable thickness [J]. Applied Mathematical Modelling, 2020, 80: 204-21.
[2] Yang W D, Chen X H, Jiang Z Y, et al. Effect of slip boundary condition on flow and heat transfer of a double fractional Maxwell fluid [J]. Chinese Journal o Physics, 2020, 68: 214-223.
[3] Yang W D, Chen X H, Zhang X R, et al. Flow and heat transfer of viscoelastic fluid with a novel space distributed-order constitution relationship [J]. Computers & Mathematics with Applications, 2021, 94: 94-103.
[4] Yang W D, Chen X H, Meng Y, et al. Numerical Solutions of Unsteady Boundary Layer Flow with a Time-Space Fractional Constitutive Relationship [J]. Symmetry-Basel, 2020, 12(9): 1446.
[5] Jiang Z Y, Yang W D, Chen X H, et al. Pipeline flow of double fractional Maxwell fluids based on the rheological experiment of xanthan gum [J]. Chinese Journal of Physics, 2023, 85: 30-40.