Results 111 to 120 of about 36,953 (196)
Dyadic nonlocal diffusions in metric measure spaces
Fractional Calculus and Applied Analysis, 2015 The authors consider the fractional derivative operator \[ D^\sigma f(x)= \int_X{f(x)- f(y)\over d(x-y)^{1+\sigma}}\,d\mu(y),\quad ...
Actis, Marcelo Jesús +1 more
openaire +2 more sources
Electronic Journal of Differential EquationsThis article studies the asymptotically periodic problem of time-space fractional reaction-diffusion equations with nonlocal initial conditions on infinite intervals.
Xuping Zhang, Kaibo Ding, Pengyu Chen
doaj
A Novel Deep Learning Approach for TEC Map Completion Using Image Equation‐Guided Loss
Journal of Geophysical Research: Machine Learning and Computation, Volume 3, Issue 1, February 2026.Abstract This study introduces the Image Equation Mechanism‐Completion Generative Adversarial Network (IEM‐CGAN), a groundbreaking deep learning framework that revolutionizes the reconstruction of large‐scale global ionospheric total electron content (TEC) maps.
Qingfeng Li +6 more
wiley +1 more source
A complex network perspective on brain disease
Biological Reviews, Volume 101, Issue 1, Page 364-399, February 2026.ABSTRACT If brain anatomy and dynamics have a complex network structure as it has become standard to posit, it is reasonable to assume that such a structure should play a key role not only in brain function but also in brain dysfunction. However, exactly how network structure is implicated in brain damage and whether at least some pathologies can be ...
David Papo, Javier M. Buldú
wiley +1 more source
Applied SciencesIn nonlocal elasticity, the constitutive equation for the stress tensor is written in an integral form, with the weight function, referred to as the nonlocality kernel, often being the Green’s function for the partial differential equation. In this paper,
Yuriy Povstenko +4 more
doaj +1 more source
Studies in Applied Mathematics, Volume 156, Issue 2, February 2026.ABSTRACT Nonlocal perceptual cues, such as visual, auditory, and olfactory signals, profoundly influence animal movement and the emergence of ecological patterns. To capture these effects, we introduce a two‐species reaction–diffusion system with mutual nonlocal perception on a two‐dimensional periodic domain.
Yaqi Chen, Ben Niu, Hao Wang
wiley +1 more source
Proceedings of the London Mathematical Society, Volume 132, Issue 2, February 2026.Abstract This paper investigates boundary‐layer solutions of the singular Keller–Segel system (proposed in Keller and Segel [J. Theor. Biol. 30 (1971), 377–380]) in multi‐dimensional domains, which describes cells' chemotactic movement toward the concentration gradient of the nutrient they consume, subject to a zero‐flux boundary condition for the cell
Jose A. Carrillo +3 more
wiley +1 more source
An Epsilon‐Near‐Zero‐Based Nonlinear Platform for Ultrafast Re‐Writable Holography
Nanophotonics, Volume 15, Issue 2, 27 January 2026.We show that an unstructured, sub‐wavelength thick epsilon‐near‐zero material, such as ITO, can be efficiently used for ultrafast re‐writable holography over a broad bandwidth range. We showcase two powerful applications of our scheme, that is, spatial structuring of light and optical computation.
M. Zahirul Alam +5 more
wiley +1 more source
Potential Theory for Nonlocal Drift-Diffusion Equations
Archive for Rational Mechanics and Analysis38 ...
Nguyen, Quoc-Hung +3 more
openaire +4 more sources