Exact discretization of fractional Laplacian

doi:10.1016/j.camwa.2017.01.012

Computers & Mathematics with Applications

Volume 73, Issue 5, 1 March 2017, Pages 855-863

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Abstract

An exact discretization of fractional-order Laplacian for $N$ -dimensional space is suggested. Particular solutions of fractional-order partial difference equations with the proposed discrete Laplace operators are suggested.

Keywords

Fractional calculus

Fractional derivative

Fractional Laplacian

Finite difference

Exact discretization

Lattice operator