Results 131 to 140 of about 2,362 (222)
Asymmetric critical fractional p-Laplacian problems
Electronic Journal of Differential Equations, 2017 We consider the asymmetric critical fractional p-Laplacian problem $$\displaylines{ (-\Delta)^s_p u = \lambda |u|^{p-2} u + u^{p^\ast_s - 1}_+,\quad \text{in } \Omega;\cr u = 0, \quad \text{in } \mathbb{R}^N\setminus\Omega; }$$ where $\lambda>0 ...
Li Huang, Yang Yang
doaj
A Novel Approach to the Fractional Laplacian via Generalized Spherical Means
Fractal and FractionalAlthough at least ten equivalent definitions of the fractional Laplacian exist in unbounded domains, we introduce an additional equivalent definition based on the generalized spherical mean-value operator—a Fourier multiplier operator involving the ...
Fethi Bouzeffour
doaj +1 more source
The Journal of Clinical Pharmacology, Volume 66, Issue 6, June 2026.Abstract A population pharmacokinetic (popPK) model was developed for ubrogepant using data from 10 Phase 1, 1 Phase 2, and 2 Phase 3 studies. The data were described by a 2‐compartment model with linear elimination and transit compartment absorption. Formulation, food intake, race, gender, and hepatic impairment had a statistically significant impact ...
Sven Stodtmann +3 more
wiley +1 more source
Stability of nonlinear Dirichlet BVPs governed by fractional Laplacian. [PDF]
ScientificWorldJournal, 2014 Bors D.
europepmc +1 more source
Progress in Natural Products Target Discovery Technology
MedComm, Volume 7, Issue 6, June 2026.Here, we provide a comprehensive overview of current technologies and recent advancements in therapeutic target discovery for natural products. By systematically synthesizing the principles, methodologies, and practical applications of existing experimental and computational strategies, this work provides a more actionable reference framework for ...
Qiyuan Pan +7 more
wiley +1 more source
Mathematical Methods in the Applied Sciences, Volume 49, Issue 9, Page 9967-9983, June 2026.ABSTRACT The main results of this paper are the global existence and long time behavior of solutions of a fractional wave equation with a nonlocal nonlinearity. The techniques in this work rely on norm estimates of the solutions of εutt+ut+(−Δ)βu=0,u(0,x)=φ(x),ut(0,x)=ψ(x),$$ \varepsilon {u}_{tt}+{u}_t+{\left(-\Delta \right)}^{\beta }u=0,\kern1em u ...
Ibrahim Ahmad Suleman, Mokhtar Kirane
wiley +1 more source
Electronic Journal of Differential Equations, 2019 In this work, we establish the existence of solutions for the nonlinear nonlocal system of equations involving the fractional Laplacian, \begin{gather*} \begin{aligned} (-\Delta)^s u & = au+bv+\frac{2p}{p+q}\int_{\Omega}\frac{|v(y)|^q}{|x-y|^\mu}dy|
Yang Yang, Qian Yu Hong, Xudong Shang
doaj
NMR in Biomedicine, Volume 39, Issue 6, June 2026.We propose a novel deep learning algorithm for predicting the myelin water fraction from multiple gradient‐echo or spin‐echo pulse sequences arising in magnetic resonance relaxometry (MRR) measurements of the human brain. Our method incorporates both regularized nonlinear least squares and pure deep learning through a concatenation paradigm known as ...
Mirage Modi +7 more
wiley +1 more source
The properties of a new fractional g-Laplacian Monge-Ampère operator and its applications
Advances in Nonlinear AnalysisIn 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
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 Cusimano N +3 more
europepmc +1 more source