Results 81 to 90 of about 3,306 (214)

Mathematical analysis on an age-structured SIS epidemic model with nonlocal diffusion. [PDF]

J Math Biol, 2021
Kang H, Ruan S.
europepmc   +1 more source

Solvability and Boundedness in Chemotaxis‐Consumption Models With Oppositely Acting Nonlocal Sources

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT In this paper, we investigate a chemotaxis system featuring a class of external source terms that incorporate both local and nonlocal growth as well as dampening effects. The model describes the evolution of a cell density u$$ u $$, which migrates in response to a chemical signal v$$ v $$, within an impermeable habitat.
Rafael Díaz Fuentes, Fatma Gamze Düzgün, Silvia Frassu, Giuseppe Viglialoro   +3 more
wiley   +1 more source

From Biological Fractal Dynamics to Analog Fractional‐Order Circuits: A System Design Framework Based on Operatorization Thought

International Journal of Mechanical System Dynamics, EarlyView.
ABSTRACT Fractional calculus, with its unique advantage in describing memory and nonlocal effects, has become a key tool for modeling nonlinear dynamic systems. Its integration with circuit systems has opened up a new paradigm for modern circuit design.
Zhimo Jian, Zheng Li, Gang Peng, Chaoqian Luo, Yajun Yin   +4 more
wiley   +1 more source

A Geometrically Regularized Gradient‐Damage Model With Orthogonality‐Based Energy Split for Dynamic Anisotropic Compression‐Shear Fracture

International Journal for Numerical and Analytical Methods in Geomechanics, EarlyView.
ABSTRACT This study proposes a novel geometrically regularized gradient‐damage model for simulating dynamic mixed‐mode fracture in orthotropic materials with tension–compression asymmetry. In this model, a thermodynamic framework is formulated by incorporating damage dissipation into internal energy evolution, from which the constitutive relation and ...
Hui Li, Shanyong Wang
wiley   +1 more source

Spatial Orientation‐Dependent Double Hydrogen Bond/Photoredox Cooperative Catalysis in Metal–Organic Frameworks

Angewandte Chemie, Volume 138, Issue 32, 3 August 2026.
We report a heterogeneous double hydrogen bond/photoredox synergistic catalysis, wherein the flexibility and spatial orientation of catalytic centers, rather than catalyst activity, play a dominant role in catalytic performance. ABSTRACT Catalyst activity is typically the primary priority in designing a catalytic system. The higher catalyst activity is
Jing Ouyang, Sze Lam Lam, Chao Li, Peiqi Zhang, Le Yang, Zhiyi Yang, Teng‐Teng Chen, Xueliang Xiao, Yangjian Quan   +8 more
wiley   +2 more sources

Humidity‐Guided In Situ Polymerization for Controlled Formation of Smooth, Oriented Covalent Organic Framework Films

Small, EarlyView.
We develop an operationally simple, efficient approach to prepare thin films of 2D imine COFs, where environmental humidity plays a key role in the formation of smooth, face‐on oriented films. The high controllability and reproducibility of this method allow statistical evaluation of morphologically varied COF films for chemiresistive sensing ...
Mitsuharu Suzuki, Sora Yamazaki, Yoshiki Shirota, Satoshi Haze, Junya Yasaka, Ryunosuke Sakamoto, Naoya Aizawa, Osamu Ikeda, Tomoyuki Koganezawa, Rosantha Kumara, Ken‐ichi Nakayama   +10 more
wiley   +1 more source

Entropy‐Stabilized Aluminate Catalysts That Break the Activity–Stability Tradeoff in CF4 Hydrolysis

Angewandte Chemie, Volume 138, Issue 32, 3 August 2026.
Entropy‐stabilized aluminate breaks the activity–stability tradeoff in CF4 hydrolysis by combining a multication aluminate framework with an entropy‐stabilized lattice. An electron‐deficient Al–O environment is F‐philic but O‐phobic, enabling C–F activation while suppressing H2O poisoning. Under steam‐rich, strongly fluorinating conditions, the entropy‐
Seunghyuck Chi, Hyungmin Jeon, Yaejun Baik, DongHwan Oh, Jin Seok, Woosung Choi, Seungjun Lee, Minkee Choi   +7 more
wiley   +2 more sources

A note on a nonlocal nonlinear reaction–diffusion model

Applied Mathematics Letters, 2012
We give an application of the Crandall-Rabinowitz theorem on local bifurcation to a system of nonlinear parabolic equations with nonlocal reaction and cross-diffusion terms as well as nonlocal initial conditions. The system arises as steady-state equations of two interacting age-structured populations.
openaire   +3 more sources

A Detailed and Comprehensive Account of Fractional Physics‐Informed Neural Networks: From Implementation to Efficiency

Artificial Intelligence for Engineering, EarlyView.
Caputo‐based fPINNs accurately solve fractional ODEs and PDEs while exposing an accuracy–cost trade‐off driven by the history‐dependent fractional derivative. Temporal collocation and shorter time windows are the most effective strategies for improving early‐time accuracy without unnecessary spatial refinement.
Donya Dabiri, Joshua DaRosa, Milad Saadat, Deepak Mangal, Safa Jamali   +4 more
wiley   +1 more source

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