On the generalized fractional Laplacian

DOI10.1515/fca-2021-0078zbMath1498.26012OpenAlexW4205205996MaRDI QIDQ2059245

Chen Kuan Li

Publication date: 13 December 2021

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

Full work available at URL: https://doi.org/10.1515/fca-2021-0078

zbMATH Keywords

gamma functiondistributionnormalizationfractional LaplacianPizzetti formula

Mathematics Subject Classification ID

Operations with distributions and generalized functions (46F10) Fractional derivatives and integrals (26A33) Gamma, beta and polygamma functions (33B15) Pseudodifferential operators (47G30)

Related Items (1)

A nonlinear fractional partial integro‐differential equation with nonlocal initial value conditions

Cites Work

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• Hitchhiker's guide to the fractional Sobolev spaces
• Ten equivalent definitions of the fractional Laplace operator
• What is the fractional Laplacian? A comparative review with new results
• Several results of fractional derivatives in \(D'(\mathbb R_+)\)
• On Riesz derivative
• Definition of fractional Laplacian for functions with polynomial growth
• A regularized representation of the fractional Laplacian in n dimensions and its relation to Weierstrass-Mandelbrot-type fractal functions
• The restaurant at the end of the random walk: recent developments in the description of anomalous transport by fractional dynamics
• Fractional kinetic equations: solutions and applications
• Fractional Calculus: Integral and Differential Equations of Fractional Order
• A review on the products of distributions
• The random walk's guide to anomalous diffusion: A fractional dynamics approach

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