Results 161 to 170 of about 416,500 (289)
Enabling the Application of Graph Neural Networks on Graphs With Unknown Connectivity
ABSTRACT Graph Neural Networks (GNNs) have proven to be reliable methods for working with graph‐structured data. However, it is common to find graphs with partially or fully inaccessible connectivity patterns, hindering the direct application of GNNs to the task at hand.
Jorge García‐Carrasco+2 more
wiley +1 more source
Studies on Fractional Differential Equations With Functional Boundary Condition by Inverse Operators
ABSTRACT Fractional differential equations (FDEs) generalize classical integer‐order calculus to noninteger orders, enabling the modeling of complex phenomena that classical equations cannot fully capture. Their study has become essential across science, engineering, and mathematics due to their unique ability to describe systems with nonlocal ...
Chenkuan Li
wiley +1 more source
Symmetrization for fractional elliptic and parabolic equations and an isoperimetric application
We develop further the theory of symmetrization of fractional Laplacian operators contained in recent works of two of the authors. The theory leads to optimal estimates in the form of concentration comparison inequalities for both elliptic and parabolic ...
Sire, Yannick+2 more
core +1 more source
Estimates of Green functions for some perturbations of fractional Laplacian [PDF]
Tomasz Grzywny, Michał Ryznar
openalex +1 more source
Synthesis and Reactivity of Triphosphaallyl Cation Stabilized by N‐Heterocyclic Carbenes
Imidazoliumyl‐substituted triphosphaallyl cations undergo selective P–C bond cleavage and form unprecedented bicyclic P₃‐Ga scaffolds with unique reactivity. Abstract Reduction of the triphosphaallyl species 6[GaCl4] with GaI[Ga2Cl7] affords the imidazoliumyl‐substituted (L) bicyclo[2.1.1]‐triphosphane 10[Ga2Cl7], featuring an unprecedented Ga2Cl5 ...
Julia Frötschel‐Rittmeyer+8 more
wiley +1 more source
Gamma convergence of an energy functional related to the fractional Laplacian [PDF]
María del Mar González
openalex +1 more source
Electric Field Inhomogeneity in Colloidal QD‐LEDs
Variations in the thickness of the quantum dot (QD) active layer in a quantum dot light emitting diode leads to variations in the local electric field strength. Thicker regions insulate the QDs from the applied electric field. Under normal operating conditions, this leads to lower electroluminescence.
Shreyas Srinivasan+9 more
wiley +1 more source
A finite-volume scheme for fractional diffusion on bounded domains
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+3 more
doaj +1 more source
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
Utilizing a stereotaxic injection mouse model and a novel mathematical approach, this study uncovers key subnetworks that drive pathological α‐synuclein (α‐Syn) progression in Parkinson's disease (PD). Remarkably, just 2% of the strongest connections in the connectome are sufficient to predict its spread.
Yuanxi Li+16 more
wiley +1 more source