On finite difference methods for fourth-order fractional diffusion–wave and subdiffusion systems

The restaurant at the end of the random walk: recent developments in the description of anomalous transport by fractional dynamics

Ralf Metzler, J. Klafter · Journal of Physics A Mathematical and General · 2004 · 2.3K citations

Engineering, Fractional-order System, Physics +12

Finite difference approximations for fractional advection–dispersion flow equations

Mark M. Meerschaert, Charles Tadjeran · Journal of Computational and Applied Mathematics · 2004 · 1.4K citations

Numerical Analysis, Fractional-order System, Finite Difference Approximations +1

A fully discrete difference scheme for a diffusion-wave system

Zhi‐zhong Sun, Xiaonan Wu · Applied Numerical Mathematics · 2005 · 1.1K citations

Numerical Analysis, Diffusion Process, Diffusion-based Modeling +2

Finite difference approximations for two-sided space-fractional partial differential equations

Mark M. Meerschaert, Charles Tadjeran · Applied Numerical Mathematics · 2005 · 917 citations

Numerical Analysis, Engineering, Fractional-order System +3

Applications of Fractional Calculus to Dynamic Problems of Linear and Nonlinear Hereditary Mechanics of Solids

Yury A. Rossikhin, Marina V. Shitikova · Applied Mechanics Reviews · 1997 · 787 citations

Review Article, Vibrations, Nonlinear Hereditary Mechanics +13