Difference Between Riesz Derivative and Fractional Laplacian on the Proper Subset of ℝ

Caiyu Jiao,Abdul Khaliq,Changpin Li,Hexiang Wang

Fractional Calculus and Applied Analysis（2021）

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摘要

In general, the Riesz derivative and the fractional Laplacian are equivalent on ℝ. But they generally are not equivalent with each other on any proper subset of ℝ. In this paper, we focus on the difference between them on the proper subset of ℝ.

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关键词

Riemann-Liouville derivative, Riesz derivative, fractional Laplacian, Primary 26A33, Secondary 47B06

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