A spectral method using diagonalizable differentiation matrices evaluates the Balakrishnan integral analytically on eigenvalues to approximate fractional Laplacians and p-Laplacians, demonstrated on 1D and 2D fractional diffusion equations.
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A matrix-based spectral method for the numerical approximation of the fractional Laplacian and the fractional $p$-Laplacian of functions defined on $\mathbb R^n$
A spectral method using diagonalizable differentiation matrices evaluates the Balakrishnan integral analytically on eigenvalues to approximate fractional Laplacians and p-Laplacians, demonstrated on 1D and 2D fractional diffusion equations.