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Abstract This paper focuses on studying Riesz derivative. An interesting investigation on properties of Riesz derivative in one dimension indicates that it is distinct from other fractional derivatives such as… Click to show full abstract
Abstract This paper focuses on studying Riesz derivative. An interesting investigation on properties of Riesz derivative in one dimension indicates that it is distinct from other fractional derivatives such as Riemann-Liouville derivative and Caputo derivative. In the existing literatures, Riesz derivative is commonly considered as a proxy for fractional Laplacian on ℝ. We show the equivalence between Riesz derivative and fractional Laplacian on ℝn with n ≥ 1 in details.
Keywords:
riesz;
riesz derivative
Journal Title: Fractional Calculus and Applied Analysis
Year Published: 2019
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Journal Title: Fractional Calculus and Applied Analysis
Year Published: 2019
Link to full text (if available)
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recommendations!