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Free Water-Corrected Fractional Anisotropy in Normal-Appearing White Matter as a Potential Neuroimaging Biomarker for Attention and Executive Function Impairment in Cerebral Small Vessel Disease. [PDF]

CNS Neurosci Ther
Fu Q, Qiu Y, Hu Y, Wang Y, Wang Y, Hu W, Xu Q, Sun Y, Zhou Y.   +8 more
europepmc   +1 more source

Large-scale comparative analysis reveals top graph signal processing features for subject identification

Bolton TAW, Schöttner M, Patel J, Fluhr H, Alemán-Gómez Y, Hagmann P.   +5 more
europepmc   +1 more source

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On the Generalized Fractional Laplacian

Fractional Calculus and Applied Analysis, 2021
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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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
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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
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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 ...
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On the Decomposition of Solutions: From Fractional Diffusion to Fractional Laplacian

Fractional Calculus and Applied Analysis, 2021
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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An Introduction to the Fractional Laplacian

2016
We introduce here some preliminary notions on the fractional Laplacian and on fractional Sobolev spaces. The definition and equivalent representations for the fractional Laplacian are introduced and the constant that appears in this definition is explicitly computed.
Claudia Bucur, Enrico Valdinoci
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Fractional Chern insulators in magic-angle twisted bilayer graphene

Nature, 2021
Yonglong Xie, Jeong Min Park, Daniel E Parker   +2 more
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