Results 101 to 110 of about 37,564 (233)

Concentrated Couple in a Plane and in a Half-Plane in the Framework of Fractional Nonlocal Elasticity

Applied Sciences
In 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, Tamara Kyrylych, Bożena Woźna-Szcześniak, Ireneusz Szcześniak, Andrzej Yatsko   +4 more
doaj   +1 more source

Weak Solutions for a Class of Nonlocal Singular Problems Over the Nehari Manifold

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT In this paper, we consider a nonlocal model of dilatant non‐Newtonian fluid with a Dirichlet boundary condition. By using the Nehari manifold and fibering map methods, we obtain the existence of at least two weak solutions, with sign information.
Zhenfeng Zhang, Calogero Vetro, Tianqing An   +2 more
wiley   +1 more source

A Numerical Method Combining Cubic Interpolated Propagation and Shifted Grünwald–Letnikov for Fractional Advection–Dispersion Equations

International Journal for Numerical and Analytical Methods in Geomechanics, EarlyView.
ABSTRACT Recent advances in the numerical solution of fractional partial differential equations have yielded promising results. In particular, the Shifted Grünwald–Letnikov (SGL) approach allows for a generalization of the traditional finite difference method to the context of fractional differential equations.
Pedro Victor Serra Mascarenhas, André Luís Brasil Cavalcante   +1 more
wiley   +1 more source

Pattern formation in a diffusive intraguild predation model with nonlocal interaction effects

AIP Advances, 2019
In this paper, we investigate the spatiotemporal pattern formation in a diffusive intraguild predation (IGP) model with a nonlocal interaction term in the growth of the shared resource, which extends previous studies of local reaction-diffusion IGP model.
Renji Han, Binxiang Dai, Yuming Chen
doaj   +1 more source

From 0D to 3D liquid crystal elastomers architectures: Fabrications and applications

Responsive Materials, EarlyView.
This review presents a dimension‐oriented overview of liquid crystal elastomers (LCEs), highlighting their molecular alignment, fabrication strategies, and programmable deformations from 0D particles to 3D architectures. Emphasis is placed on how dimensionality guides design principles, enables diverse actuation modes, and bridges fundamental ...
Mingxuan Liu, Zongxuan Wu, Jinquan Zheng, Yidan Zhu, Yanjun Liu, Lingling Ma, Wei Hu, Yan‐Qing Lu, Dan Luo   +8 more
wiley   +1 more source

Stochastic models associated to a Nonlocal Porous Medium Equation

Modern Stochastics: Theory and Applications, 2018
The nonlocal porous medium equation considered in this paper is a degenerate nonlinear evolution equation involving a space pseudo-differential operator of fractional order.
Alessandro De Gregorio
doaj   +1 more source

Information Dynamics and Learning in Complex Adaptive Systems: Toward a Transdisciplinary Framework

Systems Research and Behavioral Science, EarlyView.
ABSTRACT This article develops a framework for understanding learning and adaptation in complex adaptive systems. Drawing from neuroscience, systems theory, information theory and quantum field theory, it examines how information processing, plasticity and systemic coherence emerge from distributed, nonlinear and feedback‐driven interactions. It argues
Anderson de Souza Sant'Anna
wiley   +1 more source

Existence of positive S-asymptotically omega-periodic solutions of time-space fractional nonlocal reaction-diffusion equations

Electronic Journal of Differential Equations
This 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  

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, Aimar, Hugo Alejandro   +1 more
openaire   +2 more sources

Controllable Intrinsic Surface Pattern Generation Using Slime Mold Simulations

Computer Graphics Forum, EarlyView.
Abstract Surface‐based pattern simulations have proven valuable for texture design and scientific visualization, but existing methods face several limitations. Most simulations either target a narrow range of pattern types (e.g. spots, branching) or support a broad range of patterns at the cost of time‐consuming parameter tuning.
Jeffrey Layton, Faramarz Samavati, Adam Runions   +2 more
wiley   +1 more source