Results 71 to 80 of about 280,466 (259)
Generalized fractional Dirac type operators
, 2023 We introduce a class of fractional Dirac type operators with time variable coefficients by means of a Witt basis, the Djrbashian-Caputo fractional derivative and the fractional Laplacian, both operators defined with respect to some given functions ...
Restrepo, Joel +5 more
core +1 more source
A Unifying Approach to Self‐Organizing Systems Interacting via Conservation Laws
Advanced Intelligent Discovery, EarlyView.The article develops a unified way to model and analyze self‐organizing systems whose interactions are constrained by conservation laws. It represents physical/biological/engineered networks as graphs and builds projection operators (from incidence/cycle structure) that enforce those constraints and decompose network variables into constrained versus ...
F. Barrows +7 more
wiley +1 more source
Existence of solutions for critical fractional p-Laplacian equations with indefinite weights
Electronic Journal of Differential Equations, 2021 This article concerns the critical fractional p-Laplacian equation with indefinite weights $$ (-\Delta_p)^su=\lambda g(x)|u|^{p-2}u+h(x)|u|^{p_s^*-2}u \quad \text{in }\mathbb{R}^N, $$ where ...
Na Cui, Hong-Rui Sun
doaj +1 more source
Harnessing Digital Microstructure for Simulation‐Guided Optimization of Permanent Magnets
Advanced Intelligent Discovery, EarlyView.An experimental‐to‐computational workflow is presented that transforms experimental 3D focused ion beam‐scanning electron microscopy data into a simulation‐ready digital microstructure for multiphase functional materials. Using heavy‐rare‐earth‐free Nd–Fe–B magnets as a model system, the approach quantifies grain connectivity across complex secondary ...
Nikita Kulesh +4 more
wiley +1 more source
Maximum principles for Laplacian and fractional Laplacian with critical integrability [PDF]
, 2022 In this paper, we study maximum principles for Laplacian and fractional Laplacian with critical integrability. We first consider the critical cases for Laplacian with zero order term and first order term. It is well known that for the Laplacian with zero
Li, Congming, Lü, Yingshu
core
Composition‐Aware Cross‐Sectional Integration for Spatial Transcriptomics
Advanced Intelligent Discovery, EarlyView.Multi‐section spatial transcriptomics demands coherent cell‐type deconvolution, domain detection, and batch correction, yet existing pipelines treat these tasks separately. FUSION unifies them within a composition‐aware latent framework, modeling reads as cell‐type–specific topics and clustering in embedding space.
Qishi Dong +5 more
wiley +1 more source
The fractional p-Laplacian on hyperbolic spaces
Mathematics in Engineering, 2023 Abstract Note: Please see pdf for full abstract with equations. We present three equivalent definitions of the fractional p-Laplacian (−ΔHn)sp, 0 < s < 1, p > 1, with normalizing constants, on the hyperbolic spaces. The explicit values of the constants enable us to study the convergence of the fractional p-Laplacian to the p-Laplacian ...
Kim, Jongmyeong +2 more
openaire +2 more sources
Open Mathematics, 2022 While it is known that one can consider the existence of solutions to boundary-value problems for fractional differential equations with derivative terms, the situations for the multiplicity of weak solutions for the p-Laplacian fractional differential ...
Chen Yiru, Gu Haibo
doaj +1 more source
Fractional p-Laplacian Equations with Sandwich Pairs
, 2023 The main purpose of this paper was to consider new sandwich pairs and investigate the existence of a solution for a new class of fractional differential equations with p-Laplacian via variational methods in ψ-fractional space Hpα,β;ψ(Ω).
Jose Vanterler da C. Sousa
core +1 more source
3D Closed‐Loop Navigation of Magnetic Microswimmers Using Vision‐Derived Depth Feedback
Advanced Intelligent Systems, EarlyView.A planar magnetic microswimmer is navigated in three dimensions under a standard microscope. Image defocus supplies a real‐time depth cue, and model‐predictive control with A* planning steers the body on surfaces and in free swimming. Axial position is regulated by propulsion alone, without magnetic field gradients or extra cameras.
Yasin Cagatay Duygu +2 more
wiley +1 more source