Results 121 to 130 of about 33,013 (283)

Explicit fractional Laplacians and Riesz potentials of classical functions [PDF]

, 2023
Timon S. Gutleb, Ioannis P. A. Papadopoulos   +1 more
openalex   +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

Numerical Analysis of a Benjamin–Bona–Mahony Type Equation in a Noncylindrical Domain

Mathematical Methods in the Applied Sciences, Volume 49, Issue 2, Page 818-834, 30 January 2026.
ABSTRACT Numerical analysis and simulation for the approximate solution of a Benjamin–Bona–Mahony type equation defined in a noncylindrical domain are presented in this article. The approximate problem is defined using the linearized Crank–Nicolson Galerkin method, which results in a linear algebraic system at each time step while maintaining quadratic
Vania Cristina Machado, Bruno Alves do Carmo, Mauro Antonio Rincon   +2 more
wiley   +1 more source

A Bayesian Multisource Fusion Model for Spatiotemporal PM2.5$$ {\mathrm{PM}}_{2.5} $$ in an Urban Setting

Environmetrics, Volume 37, Issue 1, January 2026.
ABSTRACT Airborne particulate matter (PM2.5$$ {\mathrm{PM}}_{2.5} $$) is a major public health concern in urban environments, where population density and emission sources exacerbate exposure risks. We present a novel Bayesian spatiotemporal fusion model to estimate monthly PM2.5$$ {\mathrm{PM}}_{2.5} $$ concentrations over Greater London (2014–2019 ...
Abi I. Riley, Marta Blangiardo, Frédéric B. Piel, Andrew Beddows, Sean Beevers, Gary W. Fuller, Paul Agnew, Monica Pirani   +7 more
wiley   +1 more source

Hyers–Ulam stability and existence criteria for coupled fractional differential equations involving p-Laplacian operator [PDF]

, 2018
Hasib Khan, Wen Chen, Aziz Khan, Tahir Saeed Khan, Qasem M. Al-Madlal   +4 more
openalex   +1 more source

Positive Solutions for a Hadamard Fractional p-Laplacian Three-Point Boundary Value Problem [PDF]

, 2019
Jiqiang Jiang, Donal O’Regan, Jiafa Xu, Yujun Cui   +3 more
openalex   +1 more source

Neurofilament light chain as a marker of peripheral nerve damage in vasculitic neuropathy? A cross‐compartmental correlation analysis in patients undergoing nerve biopsy

Brain Pathology, Volume 36, Issue 1, January 2026.
To assess neurofilament light chain (NfL) as a biomarker of peripheral nerve damage, we correlated serumNfL concentrations with histopathological parameters from matched sural nerve biopsies. SerumNfL levels correlated with markers of acute axonal degeneration, but not with parameters reflecting chronic axonal loss.
Simon Streit, Jenny Meinhardt, Niclas Gimber, John Kestenbach, Christin Siewert, Jan Schmoranzer, Christian Meisel, Klemens Ruprecht, Frank L. Heppner, Péter Körtvélyessy, Werner Stenzel   +10 more
wiley   +1 more source

The beneficial effect of agglomerations of inclusions on the fracture toughness of ceramic nanocomposites

Journal of the American Ceramic Society, Volume 109, Issue 1, January 2026.
Abstract Agglomerations of carbon‐based inclusions and the low adhesion of inclusion‐matrix interfaces are commonly viewed as detrimental to the strength and fracture toughness of ceramic composites. While large, high‐power agglomerations indeed promote microcracking, our computations show that moderate agglomeration levels can enhance energy ...
Elijah N. Borodin, Alexander G. Sheinerman, Mikhail Yu. Gutkin, Andrey P. Jivkov   +3 more
wiley   +1 more source

Existence of Solutions for a Fractional Laplacian Equation with Critical Nonlinearity [PDF]

, 2013
Zifei Shen, Fashun Gao
openalex   +1 more source

Correction to: Sharp Trace Hardy–Sobolev–Maz’ya Inequalities and the Fractional Laplacian [PDF]

, 2018
Stathis Filippas, Luisa Moschini, Achilles Tertikas   +2 more
openalex   +1 more source