Use of a variable-index fractional-derivative model to capture transient dispersion in heterogeneous media.

By Hongguang Sun, Yong Zhang, Wen Chen, Donald M. Reeves. 2014

161 citations recorded by the source corpus.

Subfields: Civil and Structural Engineering, Environmental Engineering, Geophysics

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Civil and Structural Engineering

1. Shengda Zeng
2. Zhenhai Liu
3. Lu Lu
4. G. Em Karniadakis
5. Anthony Nouy
6. Xiaoliang Wan
7. Dongbin Xiu
8. Nicholas Zabaras

In Environmental Engineering

1. G. Em Karniadakis
2. Lu Lu
3. Guofei Pang
4. Dongbin Xiu
5. Nicholas Zabaras
6. Xiaoliang Wan
7. Anthony Nouy
8. Xiang Ma

In Geophysics

1. G. Em Karniadakis

Citations in the corpus

• fPINNs: Fractional Physics-Informed Neural Networks (2018, background): “Among these are solute transport in fractured and porous media [1, 43], acoustic wave propagation with frequency-dependent dissipation [5, 15], laminar and turbulent flows [41, 4], and viscoelastic constitutive laws [25], just to mention a few.”
• Maximum Principles for Multi-Term Space-Time Variable-Order Fractional Diffusion Equations and their Applications (2016, background): “[3, 4, 5, 6, 7, 8, 9, 19, 20, 24]) can be all described in terms of the variable order fractional differential equations.”