Results 101 to 110 of about 2,362 (222)

The Uniqueness of Solution for a Class of Fractional Order Nonlinear Systems with p-Laplacian Operator

Abstract and Applied Analysis, 2014
We are concerned with the uniqueness of solutions for a class of p-Laplacian fractional order nonlinear systems with nonlocal boundary conditions.
Jun-qi He, Xue-li Song
doaj   +1 more source

Harnessing Human Mobility Data for Applied Economic Research: Current Knowledge, Challenges, and Emerging Opportunities

Journal of Economic Surveys, EarlyView.
ABSTRACT This paper reviews how large‐scale mobility data can enhance economic analyses, highlighting its contributions to understanding travel behavior, labor markets, social interactions, and health outcomes. We discuss its advantages over traditional mobility data sources, which include real‐time location information and fine spatial resolution ...
Cristina Connolly, Sandro Steinbach, Mike Vo, Xibo Wan   +3 more
wiley   +1 more source

The Dirichlet problem for the fractional laplacian

, 2017
This thesis is an introduction to the fractional Sobolev spaces and the fractional Laplace operator. We define the fractional Sobolev spaces and give their properties by comparing them with the classical version of Sobolev spaces. After giving the motivation that comes from the random walk theory, we define the fractional Laplacian.
openaire   +3 more sources

Autoregressive Hypergraph

Journal of Time Series Analysis, EarlyView.
ABSTRACT Traditional graph representations are insufficient for modelling real‐world phenomena involving multi‐entity interactions, such as collaborative projects or protein complexes, necessitating the use of hypergraphs. While hypergraphs preserve the intrinsic nature of such complex relationships, existing models often overlook temporal evolution in
Xianghe Zhu, Qiwei Yao
wiley   +1 more source

Nonexistence results of solutions for some fractional $p$-Laplacian equations in $\mathbb{R}^{N}$

Electronic Journal of Qualitative Theory of Differential Equations
In the present paper, we study the nonexistence of nontrivial weak solutions to a class of fractional $p$-Laplacian equation in two cases which are $sp > N$ and $sp < N$.
Yuxin Chen, Haidong Liu
doaj   +1 more source

An integrated platform for 2‐D and 3‐D optical and electrical mapping of arrhythmias in Langendorff‐perfused rabbit hearts

The Journal of Physiology, EarlyView.
Abstract figure legend Integrated multimodal platform for panoramic cardiac mapping in isolated heart experiments. On the left, an image of the experimental setup during data acquisition showing a Langendorff‐perfused rabbit heart surrounded by three optical cameras (CAM A, B and C) positioned 120° apart, each coupled with high‐power LEDs for panoramic
Jimena Siles, Vinícius Silva, Tainan Neves, Italo Sandoval, Angélica Quadros, Giovanni Weber, Óscar Barquero, Ilija Uzelac, João Salinet   +8 more
wiley   +1 more source

A General Framework for the Multiplicity of Positive Solutions to Higher-Order Caputo and Hadamard Fractional Functional Differential Coupled Laplacian Systems

Fractal and Fractional
This paper applies a general framework to explore the existence of multiple positive solutions for the fractional integral boundary value problem of high-order Caputo and Hadamard fractional coupled Laplacian systems with delayed or advanced arguments ...
Kaihong Zhao, Xiaoxia Zhao, Xiaojun Lv
doaj   +1 more source

Comparative multimodal calibration of patient‐specific atrial fibrillation models: Impact of imaging and electrophysiology data on arrhythmogenic substrate identification

The Journal of Physiology, EarlyView.
Abstract figure legend Comparative multimodal calibration of patient‐specific left atrial (LA) models to identify arrhythmogenic substrates in atrial fibrillation (AF). A, LA models shown in posterior and anterior views, calibrated separately using: late gadolinium enhancement magnetic resonance imaging (LGE‐MRI) image intensity ratio (IIR; blue–red ...
Mahmoud Ehnesh, Haseeb Valli, Ovais A. Jaffery, Sam Coveney, Alexander Zolotarev, Zhong Chen, Wajid Hussain, David G. Jones, Raad Mohiaddin, Tom Wong, Gregory Slabaugh, Steven A. Niederer, Edward Vigmond, Shouvik Haldar, Caroline Roney   +14 more
wiley   +1 more source

Advancing Quantitative Susceptibility Mapping With 2.5D Diffusion Models for Rapid Intracranial Hemorrhage Quantification

Magnetic Resonance in Medicine, Volume 96, Issue 2, Page 596-610, August 2026.
ABSTRACT Purpose To develop a generative diffusion model‐based approach for robust and efficient quantitative susceptibility mapping (QSM) reconstruction in intracranial hemorrhage (ICH), applicable to both standard gradient echo (GRE) and rapid echo planar imaging (EPI) acquisitions.
Zhuang Xiong, Yang Gao, Feng Liu, Derek Emery, Ken Butcher, Alan H. Wilman, Hongfu Sun   +6 more
wiley   +1 more source

On Shape Optimization Theory With Fractional p-Laplacian Operators

Abstract and Applied Analysis
The focus of this paper is the investigation of shape optimization problems with operators such as fractional Laplacian and p-Laplacian operators, that is, −Δs and −Δps, where ...
Malick Fall, Alassane Sy, Ibrahima Faye, Diaraf Seck   +3 more
doaj   +1 more source