A series representation of the discrete fractional Laplace operator of arbitrary order
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Publication:2049329
DOI10.1016/j.jmaa.2021.125323zbMath1472.39038arXiv2101.03629OpenAlexW3162664749MaRDI QIDQ2049329
Joshua Lee Padgett, Tiffany Frugé Jones, Evdokiya Georgieva Kostadinova, Qin Sheng
Publication date: 25 August 2021
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2101.03629
Fractional derivatives and integrals (26A33) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Difference operators (39A70) Difference equations, scaling ((q)-differences) (39A13)
Uses Software
Cites Work
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- Nonlocal diffusion and applications
- Extension problem and fractional operators: semigroups and wave equations
- Local integration by parts and Pohozaev identities for higher order fractional Laplacians
- Absolutely continuous spectra of quantum tree graphs with weak disorder
- Absence of diffusion in the Anderson tight binding model for large disorder or low energy
- Spectral properties of disordered systems in the one-body approximation
- Localization at large disorder and at extreme energies: an elementary derivation
- Anderson localization and its ramification. Disorder, phase coherence, and electron correlations. Contributions to the 283th Wilhelm und Else Heraeus Seminar `Localization, quantum coherence, and interactions', Hamburg, September, 2002
- Spectral structure of Anderson type Hamiltonians
- Nonlocal discrete diffusion equations and the fractional discrete Laplacian, regularity and applications
- Effect of surface slip on the relative motion and collision efficiency of slippery spherical particles
- Extension problems related to the higher order fractional Laplacian
- Spectral theory for discrete Laplacians
- Analysis of an approximation to a fractional extension problem
- On the harmonic extension approach to fractional powers in Banach spaces
- What is the fractional Laplacian? A comparative review with new results
- The quenching of solutions to time-space fractional Kawarada problems
- Strong unique continuation for the higher order fractional Laplacian
- A note on the adaptive numerical solution of a Riemann-Liouville space-fractional Kawarada problem
- Harmonic analysis associated with a discrete Laplacian
- The logarithmic norm. History and modern theory
- Approach to the extended states conjecture
- Simplicity of singular spectrum in Anderson-type Hamiltonians
- The asymptotic expansion of a ratio of gamma functions
- Semi-Inner-Product Spaces
- The Mathematical Theories of Diffusion: Nonlinear and Fractional Diffusion
- Anomalous diffusion in one-dimensional disordered systems: a discrete fractional Laplacian method
- An Extension Problem Related to the Fractional Laplacian
- Classes of Semi-Inner-Product Spaces
- Unique continuation principles for a higher order fractional Laplace equation
- Stochastic models for fractional calculus
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