1D solitons in cubic-quintic fractional nonlinear Schrödinger model. [PDF]
Stephanovich VA+3 more
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Fractional Laplacian with Supercritical Killings
In this paper, we study Feynman-Kac semigroups of symmetric $\alpha$-stable processes with supercritical killing potentials belonging to a large class of functions containing functions of the form $b|x|^{-\beta}$, where $b>0$ and $\beta>\alpha$. We obtain two-sided estimates on the densities $p(t, x, y)$ of these semigroups for all $t>0$, along with ...
Soobin Cho, Renming Song
openaire +2 more sources
On the Order of the Fractional Laplacian in Determining the Spatio-Temporal Evolution of a Space-Fractional Model of Cardiac Electrophysiology. [PDF]
Cusimano N+3 more
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Boundary regularity of an isotropically censored nonlocal operator. [PDF]
Chan H.
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The properties of a new fractional g-Laplacian Monge-Ampère operator and its applications
In this article, we first introduce a new fractional gg-Laplacian Monge-Ampère operator: Fgsv(x)≔infP.V.∫Rngv(z)−v(x)∣C−1(z−x)∣sdz∣C−1(z−x)∣n+s∣C∈C,{F}_{g}^{s}v\left(x):= \inf \left\{\hspace{0.1em}\text{P.V.}\hspace{0.1em}\mathop{\int }\limits_{{{\mathbb{
Wang Guotao, Yang Rui, Zhang Lihong
doaj +1 more source
Singular boundary behaviour and large solutions for fractional elliptic equations. [PDF]
Abatangelo N+2 more
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Distributed Formation Control of Multi-Robot Systems with Path Navigation via Complex Laplacian. [PDF]
Wu X, Wu R, Zhang Y, Peng J.
europepmc +1 more source
The exotic behavior of the wave evolution in Lévy crystals within a fractional medium. [PDF]
Zakeri Z+3 more
europepmc +1 more source
The influence of a transport process on the epidemic threshold. [PDF]
Kuehn C, Mölter J.
europepmc +1 more source
Editorial: Differential equations: Modelling and numerical methods. [PDF]
Mohanty RK+4 more
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