Results 21 to 30 of about 5,262 (196)
On the Fractional Dunkl Laplacian
Fractional Calculus and Applied Analysis, 2022 In this paper, we present an approach to the fractional Dunkl Laplacian in a framework emerging from certain reflection symmetries in Euclidean spaces. Our main result is pointwise formulas, Bochner subordination, and an extension problem for the fractional Dunkl Laplacian as well.
Fethi Bouzeffour, Wissem Jedidi
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On the Order of the Fractional Laplacian in Determining the Spatio-Temporal Evolution of a Space-Fractional Model of Cardiac Electrophysiology. [PDF]
PLoS One, 2015 Space-fractional operators have been used with success in a variety of practical applications to describe transport processes in media characterised by spatial connectivity properties and high structural heterogeneity altering the classical laws of ...
Cusimano N +3 more
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Singular critical elliptic problems with fractional Laplacian [PDF]
Electronic Journal of Differential Equations, 2015 In this article, we consider the existence of solutions of the critical problem with a Hardy term for fractional Laplacian $$\displaylines{ (-\Delta)^s u -\mu \frac u{|x|^{2s}}= u^{2^*_s-1} \quad \text{in }\Omega,\cr u>0 \quad \text{in }\Omega, \cr
Xueqiao Wang, Jianfu Yang
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The Fractional Laplacian with Reflections
Potential Analysis, 2023 AbstractMotivated by the notion of isotropic $$\alpha $$ α -stable Lévy processes confined, by reflections, to a bounded open Lipschitz set $$D\subset \mathbb {R}^d$$ D ⊂ R
Bogdan, Krzysztof, Kunze, Markus
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Fractional Laplacian pyramids [PDF]
2009 16th IEEE International Conference on Image Processing (ICIP), 2009 We provide an extension of the L2-spline pyramid (Unser et al., 1993) using polyharmonic splines. We analytically prove that the corresponding error pyramid behaves exactly as a multi-scale Laplace operator. We use the multiresolution properties of polyharmonic splines to derive an efficient, non-separable filterbank implementation.
Ricard Delgado-Gonzalo +2 more
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Fractional Laplacians on ellipsoids
Mathematics in Engineering, 2021 6 pictures, 27 ...
Abatangelo N., Jarohs S., Saldana A.
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Laplacian pretty good fractional revival [PDF]
, 2022 We develop the theory of pretty good fractional revival in quantum walks on graphs using their Laplacian matrices as the Hamiltonian. We classify the paths and the double stars that have Laplacian pretty good fractional revival.Comment: 17 pages; journal
Johnson, Bobae +5 more
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Monotone iterative technique for time-space fractional diffusion equations involving delay
Nonlinear Analysis, 2021 This paper considers the initial boundary value problem for the time-space fractional delayed diffusion equation with fractional Laplacian. By using the semigroup theory of operators and the monotone iterative technique, the existence and uniqueness of ...
Qiang Li, Guotao Wang, Mei Wei
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Fractional Laplacian in bounded domains [PDF]
Physical Review E, 2007 11 pages, 11 ...
Zoia, A., Rosso, A., Kardar, M.
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Fractional Laplacians : A short survey
Discrete and Continuous Dynamical Systems - S, 2022 The authors give an overview of the different operators which extend the Laplacian one to the fractional derivatives context. They concentrate on their very definitions and basic properties, stressing on some differences among them and the classical Laplacian, also by making use of explicit examples.
Daoud, Maha, Laamri, El Haj
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