On Riesz derivative

DOI10.1515/fca-2019-0019zbMath1426.26010OpenAlexW2947847685MaRDI QIDQ2328609

Yanyan Li

Publication date: 10 October 2019

Published in: Fractional Calculus \& Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/fca-2019-0019

zbMATH Keywords

Riesz derivativefractional Laplacian

Mathematics Subject Classification ID

Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10) Fractional derivatives and integrals (26A33) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38)

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Cites Work

• High-order algorithms for Riesz derivative and their applications. III
• High-order algorithms for Riesz derivative and their applications. II
• Hitchhiker's guide to the fractional Sobolev spaces
• Ten equivalent definitions of the fractional Laplace operator
• Remarks on fractional derivatives
• Numerical methods for fractional partial differential equations with Riesz space fractional derivatives
• Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
• High-order numerical algorithms for Riesz derivatives via constructing new generating functions
• High-order algorithms for Riesz derivative and their applications. I.
• Modeling and computing of fractional convection equation
• Fractional-compact numerical algorithms for Riesz spatial fractional reaction-dispersion equations
• Definition of the Riesz derivative and its application to space fractional quantum mechanics
• The Fractional Laplacian
• Fractional differentiation matrices with applications
• High‐order algorithms for Riesz derivative and their applications (V)
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