Graph‐Theory Approach to Element Miscibility and Alloy Design
Graph and network theory enables pathway toward complex multiscale interactions between different elements for alloy design or interface engineering. Utilizing element's inherent properties and preferential interactivity, favorable mixed material formation, solubility and miscibility can be predicted.
Andrew Martin +6 more
wiley +1 more source
A second-order dynamical system for solving inverse quasi-variational inequalities and its application. [PDF]
Gan T, Khan VK, Ahmad MK, Cai QB.
europepmc +1 more source
Semiclassical inequalities for Dirichlet and Neumann Laplacians on convex domains
Abstract We are interested in inequalities that bound the Riesz means of the eigenvalues of the Dirichlet and Neumann Laplacians in terms of their semiclassical counterpart. We show that the classical inequalities of Berezin–Li–Yau and Kröger, valid for Riesz exponents γ≥1$\gamma \ge 1$, extend to certain values γ<1$\gamma <1$, provided the underlying ...
Rupert L. Frank, Simon Larson
wiley +1 more source
Evolution Equations on Co-evolving Graphs: Long-Time Behaviour and the Graph-Continuity Equation. [PDF]
Carrillo JA, Esposito A, Mikolás L.
europepmc +1 more source
Advances in Generative Models for Accelerated Discovery of New Materials
ABSTRACT The discovery of new materials can drive tremendous social and technological progress. However, the vastness of the material space makes comprehensive exploration computationally infeasible. This paper reviews the inverse design methods of generative models in materials science, aiming to discover customized materials based on specific ...
Yuan Jiang +6 more
wiley +1 more source
Singularity in nonlinear systems: differential inclusion model for the standard and transformed fractional pantograph equation. [PDF]
Mobayen S +4 more
europepmc +1 more source
Mathematical Modeling of Giardiasis Transmission Dynamics Using Caputo Fractional Derivative
The research offers an insight into the dynamics of giardiasis transmission as well as direction to practitioners and public health authorities in developing specific intervention strategies to mitigate the negative effects of these parasitic infections on the well‐being of the population. ABSTRACT Giardia duodenalis is a protozoan parasite that causes
Joshua Kiddy K. Asamoah +3 more
wiley +1 more source
Lipschitz-based robustness estimation for hyperdimensional learning. [PDF]
Yeung C +5 more
europepmc +1 more source
We develop and analyze a fractional‐order avian influenza chicken model for chicken farms, providing existence, uniqueness, and stability results. With real Bangladesh farm data and 80% vaccine efficacy, numerical results show that combining vaccination and treatment can control disease spread by reducing the basic reproduction number below one ...
Muhammad Altaf Khan +4 more
wiley +1 more source
Dynamic stability analysis of a fractional calculus-based colon cancer model with therapeutic interventions. [PDF]
Tai R, Chen Z, Zhao Y, Shi R.
europepmc +1 more source

