The transport dynamics in complex systems governing by anomalous diffusion modelled with Riesz fractional partial differential equations

Lattice fractional diffusion equation in terms of a Riesz–Caputo difference

(2015) Guo-Cheng Wu et al.   PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS

A two-dimensional Haar wavelet approach for the numerical simulations of time and space fractional Fokker–Planck equations in modelling of anomalous diffusion systems

(2014) S. Saha Ray et al.   JOURNAL OF MATHEMATICAL CHEMISTRY

A numerical algorithm for the space and time fractional Fokker‐Planck equation

(2013) S. Karimi Vanani et al.   INTERNATIONAL JOURNAL OF NUMERICAL METHODS FOR HEAT & FLUID FLOW

Hamilton–Jacobi Formulation for Systems in Terms of Riesz’s Fractional Derivatives

(2011) Eqab M. Rabei et al.   INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS

Crank–Nicolson method for the fractional diffusion equation with the Riesz fractional derivative

(2011) Cem Çelik et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Numerical methods for fractional partial differential equations with Riesz space fractional derivatives

(2009) Q. Yang et al.   APPLIED MATHEMATICAL MODELLING

The fundamental solution and numerical solution of the Riesz fractional advection-dispersion equation

(2008) S. Shen et al.   IMA JOURNAL OF APPLIED MATHEMATICS

Finite difference approximations for the fractional Fokker–Planck equation

(2007) S. Chen et al.   APPLIED MATHEMATICAL MODELLING

Anomalous diffusion expressed through fractional order differential operators in the Bloch–Torrey equation

(2007) Richard L. Magin et al.   JOURNAL OF MAGNETIC RESONANCE