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On spectral polar fractional Laplacian

Mathematics and Computers in Simulation, 2023
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Alireza Ansari   +1 more
openaire   +2 more sources

BOUNDARY PROBLEMS FOR FRACTIONAL LAPLACIANS

Stochastics and Dynamics, 2005
By making use of the reflected α-stable process on a closed domain of ℝn and its killed subprocess on part of the domain, in this paper we study the boundary value problem for the Schrödinger type equation of a fractional Laplacian. The boundary condition is imposed partly follow Dirichlet condition and partly follow Neuman condition.
Guan, Qing-Yang, Ma, Zhi-Ming
openaire   +2 more sources

Schrödinger Equations with Fractional Laplacians

Applied Mathematics & Optimization, 2000
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Hu, Y., Kallianpur, G.
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BOUNDS FOR THE EIGENVALUES OF THE FRACTIONAL LAPLACIAN

Reviews in Mathematical Physics, 2012
In this article, we extend Pólya's legendary inequality for the Dirichlet Laplacian to the fractional Laplacian. Pólya's argument is revealed to be a powerful tool for proving such extensions on tiling domains. As in the Dirichlet Laplacian case, Pólya's inequality for the fractional Laplacian on any bounded domain is still an open problem.
Yolcu, Selma Yildirim, Yolcu, Türkay
openaire   +1 more source

The Fractional Laplacian

2016
The fractional Laplacian in one dimension Random walkers with constant steps Ordinary diffusion Random jumpers Central limit theorem and stable distributions Power-law probability jump lengths A principal-value integral Wires and springs The fractional Laplacian Fourier transform Effect of fractional order Numerical computation of the fractional ...
openaire   +1 more source

What is the fractional Laplacian? A comparative review with new results

Journal of Computational Physics, 2020
Fangying Song   +2 more
exaly  

The Nehari manifold for aψ-Hilfer fractionalp-Laplacian

Applicable Analysis, 2022
Jiabin Zuo   +2 more
exaly  

The sliding methods for the fractional p-Laplacian

Advances in Mathematics, 2020
Wenxiong Chen, Leyun Wu
exaly  

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