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Radial symmetry for a generalized nonlinear fractional p-Laplacian problem [PDF]
Nonlinear Analysis, 2021 This paper first introduces a generalized fractional p-Laplacian operator (–Δ)sF;p. By using the direct method of moving planes, with the help of two lemmas, namely decay at infinity and narrow region principle involving the generalized fractional p ...
Wenwen Hou +3 more
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Fractional Revival of Threshold Graphs Under Laplacian Dynamics [PDF]
Discussiones Mathematicae Graph Theory, 2020 We consider Laplacian fractional revival between two vertices of a graph X. Assume that it occurs at time τ between vertices 1 and 2. We prove that for the spectral decomposition L=∑r=0qθrErL = \sum\nolimits_{r = 0}^q {{\theta _r}{E_r}} of the Laplacian
Kirkland Steve, Zhang Xiaohong
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Fractal and Fractional, 2023 The fractional Laplacian operator is a very important fractional operator that is often used to describe several anomalous diffusion phenomena. In this paper, we develop some numerical schemes, including a finite difference scheme and finite volume ...
Junjie Wang, Shoucheng Yuan, Xiao Liu
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Monotonicity results for the fractional p-Laplacian in unbounded domains
Bulletin of Mathematical Sciences, 2021 In this paper, we develop a direct method of moving planes in unbounded domains for the fractional p-Laplacians, and illustrate how this new method to work for the fractional p-Laplacians.
Leyun Wu, Mei Yu, Binlin Zhang
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Nonlinear Analysis, 2022 In this paper, by introducing a relativistic Schrödinger tempered fractional p-Laplacian operator (–Δ)p,λs,m, based on the relativistic Schrödinger operator (–Δ + m2)s and the tempered fractional Laplacian (Δ + λ)β/2, we consider a relativistic ...
Wenwen Hou, Lihong Zhang
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On the Convergence Result of the Fractional Pseudoparabolic Equation
Journal of Mathematics, 2023 In this paper, we consider the nonlinear fractional Laplacian pseudoparabolic equation (NFLPPE). We mainly focus on the convergence of mild solutions with respect to the order of fractional Laplacian.
Nguyen Van Tien, Reza Saadati
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Boundary Value Problems, 2021 We investigate the multiplicity of solutions for problems involving the fractional N-Laplacian. We obtain three theorems depending on the source terms in which the nonlinearities cross some eigenvalues. We obtain these results by direct computations with
Q-Heung Choi, Tacksun Jung
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Fractal and Fractional, 2023 Recent studies have emphasized the importance of the long-distance diffusion model in characterizing tracer transport occurring within both subsurface and surface environments, particularly in heterogeneous systems.
Zhipeng Li +5 more
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A Monotone Discretization for the Fractional Obstacle Problem and Its Improved Policy Iteration
Fractal and Fractional, 2023 In recent years, the fractional Laplacian has attracted the attention of many researchers, the corresponding fractional obstacle problems have been widely applied in mathematical finance, particle systems, and elastic theory.
Rubing Han, Shuonan Wu, Hao Zhou
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Fractal and Fractional, 2022 This paper designs a new finite difference compact reconstruction unequal-sized weighted essentially nonoscillatory scheme (CRUS-WENO) for solving fractional differential equations containing the fractional Laplacian operator.
Yan Zhang, Jun Zhu
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