Results 71 to 80 of about 546,655 (283)

The Application of Abstract Algebra in Operational Calculus

Fractal and Fractional
This paper is dedicated to elucidating the abstract algebraic structure of operational calculus theory. Based on abstract algebra and operational calculus, the operator algebra theory of Mikusiński has been revised. We restate the concept of Mikusiński’s
Ruiheng Jiang, Tianyi Zhou, Yajun Yin
doaj   +1 more source

Design, Control, and Clinical Applications of Magnetic Actuation Systems: Challenges and Opportunities

Advanced Intelligent Systems, Volume 7, Issue 3, March 2025.
This review aims to provide a broad understanding for interdisciplinary researchers in engineering and clinical applications. It addresses the development and control of magnetic actuation systems (MASs) in clinical surgeries and their revolutionary effects in multiple clinical applications.
Yingxin Huo, Lidong Yang, Tiantian Xu, Dong Sun   +3 more
wiley   +1 more source

The Laplace’ quasi-operator in quasi-Sobolev spaces

Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2013
The quasi-Sobolev spaces notion introduced in the article is based on the quasinorms concept. Completeness of these spaces on the appropriate quasi-norms is proved and the continuous embedding of these spaces is shown in the work. Also Laplace’ and Green’
Jawad K Al-Delfi
doaj   +3 more sources

Limit Cases of the p-Laplace Operator via Mosco Convergence

, 2013
In the classic theory, p-Laplace operator (1 < p < infinity) joined several main parts of the mathematics in a fruitful way, and one important principle of mathematics is that extreme cases reveal interesting structure.
Shen, Xiao
core   +3 more sources

Synergistic Effect on Enhanced Oil Recovery in High Salinity Carbonate Reservoirs Using a Novel PEI‐Functionalized Carbon Nanotube Nanocomposite

Asia-Pacific Journal of Chemical Engineering, EarlyView.
ABSTRACT Enhancing oil recovery (EOR) in mature reservoirs is hindered by high interfacial tension (IFT) and oil‐wet rock formations, especially under harsh, high‐salinity conditions. This study aims to overcome these limitations by synthesizing a novel carbon nanotube nanocomposite covalently grafted with polyethylenimine and non‐covalently ...
Mohamed Abu Shuheil, Dilipkumar S. Patel, N. Beemkumar, Tariq Abdulkader Alrihaim, Dhirendra Nath Thatoi, Ripendeep Singh, Rohit Kumar, Parminder Singh, Ahmad Khalid   +8 more
wiley   +1 more source

Multiscale Modeling Approach of Slot Die Coating of Unidirectional Glass Fiber Fabric

Journal of Applied Polymer Science, EarlyView.
2D macroscale and microscale computational fluid dynamic (CFD) models are combined in a multiscale approach to develop a model for slot die coating of glass fiber (GF) fabrics in cellulose nanocrystal (CNC) dispersion as a sizing. For slot die coating models with and without vacuum assist, the model is able to predict stable operating parameters which ...
Kim Anh Pham, Robert J. Moon, Kyriaki Kalaitzidou, Apoorva R. Mundhe, Tequila A. L. Harris   +4 more
wiley   +1 more source

On some possible applications of Laplace operator in a revolved coordinate system for numerical calculations

Тонкие химические технологии, 2013
The Laplace operator in a revolved coordinate system (the “revolved” Laplace operator) is introduced in numerical mesh method along diagonal lines. In this paper an attempt is made to use it for numerical solution of the two-dimensional Poisson equation.
A. B. Chaadaev
doaj  

Pervasiveness of the p-Laplace operator under localization of fractional g-Laplace operators

Journal of Nonlinear and Variational Analysis
In this work we analyze the behavior of truncated functionals as \begin{equation*} \int_{\mathbb{R}^N}\int_{B(x,δ)} G\left(\frac{|u(x)-u(y)|}{|x-y|^{s}}\right)\frac{dydx}{|x-y|^N}\qquad\text{for }δ\to0^+. \end{equation*} Here the function $G$ is an Orlicz function that in addition is assumed to be a regularly varying function at $0$.
openaire   +4 more sources

On structural controllability in complex networks with periodic switching topologies

Asian Journal of Control, EarlyView.
Abstract This paper investigates the structural controllability of complex networks with periodic switching topologies. First, several graph transformations that preserve structural controllability are demonstrated. Based on the n‐walk theory, a criterion is derived that determines structural controllability by analyzing only the joint graph within a ...
Jingrui Hou, Zhaohui Liu, Xinghuo Yu, Mahdi Jalili   +3 more
wiley   +1 more source

An Efficient Analytical Technique, for The Solution of Fractional-Order Telegraph Equations

Mathematics, 2019
In the present article, fractional-order telegraph equations are solved by using the Laplace-Adomian decomposition method. The Caputo operator is used to define the fractional derivative.
Hassan Khan, Rasool Shah, Poom kumam, Dumitru Baleanu, Muhammad Arif   +4 more
doaj   +1 more source