Results 131 to 140 of about 280,466 (259)

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

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

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

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

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

A note on the Dancer-Fucik spectra of the fractional p-Laplacian and Laplacian operators

, 2015
We study the Dancer-Fucik spectrum of the fractional p-Laplacian ...
Kanishka Perera, Yang Yang, SQUASSINA, Marco   +2 more
core  

Leakage‐Controlled Evaluation of Pixel‐Level MRI–sCT Fusion Reveals a Quality–Performance Mismatch in Brain Tumour Classification

Vector: The Journal of Engineering, Volume 2027, Issue 1, January/December 2027.
This study presents a leakage‐free evaluation of pixel‐level MRI–synthetic CT fusion for brain tumour classification using EfficientNet‐B0, image‐quality metrics, statistical testing and Grad‐CAM explainability. The results show that although fusion methods improved several image‐quality measures, none outperformed MRI‐only classification in accuracy ...
Muazzam Ali, Muhammad Usman Hashmi, Muhammad Azam, Raheem Sarwar   +3 more
wiley   +1 more source

The Geographic Moran Effect: Theory, Methods, and Interpretation

Geographical Analysis, Volume 59, Issue 1, January 2027.
ABSTRACT The Moran effect traditionally refers to the synchronization of population dynamics driven by shared environmental forcing rather than direct interactions among populations. Although extensively studied in population ecology, the Moran effect has received limited attention in geography, and its applicability remains insufficiently explored. In
Zhenzhi Jiao, X. Angela Yao, Jean‐Claude Thill   +2 more
wiley   +1 more source

TAMAVAQ/Q‐TAMAVAQ: Fubini–study CTQW graph transport and constrained margin‐based ranking for neoantigen candidate prioritization in lower‐grade glioma and glioblastoma

Clinical and Translational Discovery, Volume 6, Issue 6, December 2026.
Abstract Background Personalized neoantigen vaccine design for glioma requires the integration of mutation‐derived peptide evidence, molecular properties, HLA coverage and finite manufacturing capacity. TAMAVAQ/Q‐TAMAVAQ combines quantum‐geometric descriptor representation with graph transport and auditable peptide‐panel assembly.
Ioannis Grigoriadis
wiley   +1 more source

A finite-volume scheme for fractional diffusion on bounded domains

European Journal of Applied Mathematics
We propose a new fractional Laplacian for bounded domains, expressed as a conservation law and thus particularly suited to finite-volume schemes. Our approach permits the direct prescription of no-flux boundary conditions.
Rafael Bailo, José A. Carrillo, Stefano Fronzoni, David Gómez-Castro   +3 more
doaj   +1 more source