Variable-order fractional Laplacian and its accurate and efficient
computations with meshfree methods
Variable-order fractional Laplacian and its accurate and efficient
computations with meshfree methods
The variable-order fractional Laplacian plays an important role in the study of heterogeneous systems. In this paper, we propose the first numerical methods for the variable-order Laplacian $(-\Delta)^{\alpha({\bf x})/2}$ with $0 < \alpha({\bf x}) \le 2$, which will also be referred as the variable-order fractional Laplacian if $\alpha({\bf x})$ is …