Fast finite difference methods for space-fractional diffusion equations with fractional derivative boundary conditions

The random walk's guide to anomalous diffusion: a fractional dynamics approach

Ralf Metzler, J. Klafter · Physics Reports · 2000 · 8.9K citations

Natural Sciences, Mathematics, Physics +16

Discretized Fractional Calculus

Ch. Lubich · SIAM Journal on Mathematical Analysis · 1986 · 979 citations

Computing, Computer Science, Computational Physics +15

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

Mark M. Meerschaert, Charles Tadjeran · Applied Numerical Mathematics · 2005 · 936 citations

Natural Sciences, Mathematics, Physics +12

Templates for the Solution of Linear Systems: Building Blocks for Iterative Methods.

G. W. S., Richard Barrett, Michael Berry et al. · Mathematics of Computation · 1995 · 787 citations · Full text

Computing, Computer Science, Algorithms +12

The fractional‐order governing equation of Lévy Motion

David A. Benson, Stephen W. Wheatcraft, Mark M. Meerschaert · Water Resources Research · 2000 · 748 citations · Full text

Engineering, Mathematics, Physics +17