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Mathematical Methods in the Applied Sciences, EarlyView., 2022 This article focuses on the fully distributed leader‐following consensus problem of nonlinear fractional multi‐agent systems via event‐triggered control technique. The main intention of this article is to design a novel event‐triggered mechanism, which not only takes into account both the relative error and the absolute error of the samples but also ...
Qiaoping Li, Chao Yue
wiley +1 more source
Regularity of solutions to a fractional elliptic problem with mixed Dirichlet-Neumann boundary data [PDF]
, 2019 In this work we study regularity properties of solutions to fractional elliptic problems with mixed Dirichlet-Neumann boundary data when dealing with the Spectral Fractional ...
Carmona, J. +3 more
core +2 more sources
A fractional generalization of the classical lattice dynamics approach [PDF]
, 2016 We develop physically admissible lattice models in the harmonic approximation which define by Hamilton's variational principle fractional Laplacian matrices of the forms of power law matrix functions on the n-dimensional periodic and infinite lattice in ...
A.F. Nowakowski +33 more
core +4 more sources
Near‐Zero Thermal Expansion in Coordination Polymer Cd(1,2,4‐Triazole)2(H2PO4)2
Angewandte Chemie, EarlyView.The structural dynamics and the chemical bonding origin of a volumetric near‐zero thermal expansion in a coordination polymer across 25 K to 400 K is studied using multi‐temperature X‐ray crystallography and X‐ray electron density analysis. The lattice expansion in the a and c directions is counteracted by contraction along b axis, caused by concerted ...
Sounak Sarkar, Bo Brummerstedt Iversen
wiley +2 more sources
Point-like perturbed fractional Laplacians through shrinking potentials of finite range
, 2018 We reconstruct the rank-one, singular (point-like) perturbations of the $d$-dimensional fractional Laplacian in the physically meaningful norm-resolvent limit of fractional Schr\"{o}dinger operators with regular potentials centred around the perturbation
Michelangeli, Alessandro +1 more
core +1 more source
Phase space analysis and functional calculus for the linearized Landau and Boltzmann operators [PDF]
, 2012 In many works, the linearized non-cutoff Boltzmann operator is considered to behave essentially as a fractional Laplacian. In the present work, we prove that the linearized non-cutoff Boltzmann operator with Maxwellian molecules is exactly equal to a ...
Chao-jiang Xu +6 more
core +5 more sources
Numerical Methods for the Fractional Laplacian: a Finite Difference-quadrature Approach
, 2014 The fractional Laplacian $(-\Delta)^{\alpha/2}$ is a non-local operator which depends on the parameter $\alpha$ and recovers the usual Laplacian as $\alpha \to 2$.
Huang, Yanghong, Oberman, Adam
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The influence of fractional diffusion in Fisher-KPP equations
, 2012 We study the Fisher-KPP equation where the Laplacian is replaced by the generator of a Feller semigroup with power decaying kernel, an important example being the fractional Laplacian.
A.N. Kolmogorov +14 more
core +3 more sources
The fractional Hardy inequality with a remainder term
, 2009 We calculate the regional fractional Laplacian on some power function on an interval. As an application, we prove Hardy inequality with an extra term for the fractional Laplacian on the interval with the optimal constant.
Dyda, Bartłomiej
core +1 more source
Protected Chaos in a Topological Lattice
Advanced Science, EarlyView.Topological and chaotic dynamics are often considered incompatible, with one expected to dominate or disrupt the other. This work reveals that topological localization can persist even under strong chaotic dynamics and, counter‐intuitively, protect chaotic behavior.
Haydar Sahin +6 more
wiley +1 more source