2002/09/18 by W. Chen, Chen, W.
Computer Science · Mathematics · #Advanced Mathematical Modeling in Engineering #Computational Engineering #FOS: Computer and information sciences #FOS: Mathematics #Finance #Fractional Differential Equations Solutions #G.1.8 #G.1.9 #Numerical Analysis (math.NA) #Numerical methods in inverse problems #and Science (cs.CE)
paper · pdf · doi:10.48550/arxiv.cs/0209020
openalex publication_date 2002/09/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
It is noted that the standard definition of the fractional Laplacian leads to a hyper-singular convolution integral and is also obscure about how to implement the boundary conditions. This purpose of this note is to introduce a new definition of the fractional Laplacian to overcome these major drawbacks.