02-388 W. Chen

A new definition of the fractional Laplacian (181K, Acrobat PDF) Sep 18, 02

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Abstract. 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.

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