Results 31 to 40 of about 649,336 (290)

A Nonlocal Fractional Peridynamic Diffusion Model

Fractal and Fractional, 2021
This paper proposes a nonlocal fractional peridynamic (FPD) model to characterize the nonlocality of physical processes or systems, based on analysis with the fractional derivative model (FDM) and the peridynamic (PD) model.
Yuanyuan Wang, HongGuang Sun, Siyuan Fan, Yan Gu, Xiangnan Yu   +4 more
doaj   +1 more source

Fractional Derivative Modification of Drude Model [PDF]

Sensors, 2021
A novel, two-parameter modification of a Drude model, based on fractional time derivatives, is presented. The dielectric susceptibility is calculated analytically and simulated numerically, showing good agreement between theoretical description and numerical results.
Karol Karpiński, Sylwia Zielińska-Raczyńska, David Ziemkiewicz   +2 more
openaire   +4 more sources

Expanding the Repertoire of Dielectric Fractional Models: A Comprehensive Development and Functional Applications to Predict Metabolic Alterations in Experimentally-Inaccessible Cells or Tissues

Fluids, 2018
In this paper, we present the theoretical approach developed by us in the network of dielectric fractional theories. In particular, we mention the general aspects of the non-equilibrium thermodynamics, and after an introduction to the interaction between
Francesco Farsaci, Ester Tellone, Antonio Galtieri, Silvana Ficarra   +3 more
doaj   +1 more source

Analysis of the Fractional HIV Model under Proportional Hadamard-Caputo Operators

Fractal and Fractional, 2023
Modeling human immunodeficiency virus (HIV) via fractional operators has several benefits over the classical integer-order HIV model. The reason is that the fractional HIV model relies not only on the recent status but also on the former conduct of the ...
Areej A. Almoneef, Mohamed A. Barakat, Abd-Allah Hyder   +2 more
doaj   +1 more source

Fractional Hydrodynamic Equations for Fractal Media

, 2006
We use the fractional integrals in order to describe dynamical processes in the fractal media. We consider the "fractional" continuous medium model for the fractal media and derive the fractional generalization of the equations of balance of mass density,
Adler, Bale, Christensen, Collins, Dullien, Katz, Mandelbrot, Park, Park, Pfeifer, Ren, Romm, Schaefer, Schaefer, Schroeder, Shvidler, Stanley, Tarasov, Tarasov, Vasily E. Tarasov, Yu, Zaslavsky   +21 more
core   +1 more source

Review of Some Promising Fractional Physical Models [PDF]

, 2015
Fractional dynamics is a field of study in physics and mechanics investigating the behavior of objects and systems that are characterized by power-law non-locality, power-law long-term memory or fractal properties by using integrations and ...
Tarasov, Vasily E.
core   +1 more source

Certain Analytic Solutions for Time-Fractional Models Arising in Plasma Physics via a New Approach Using the Natural Transform and the Residual Power Series Methods

Fractal and Fractional
This paper studies three time-fractional models that arise in plasma physics: the modified Korteweg–deVries–Zakharov–Kuznetsov equation, the stochastic potential Korteweg–deVries equation, and the forced Korteweg–deVries equation.
Asad Freihat, Mohammed Alabedalhadi, Shrideh Al-Omari, Sharifah E. Alhazmi, Shaher Momani, Mohammed Al-Smadi   +5 more
doaj   +1 more source

Lyapunov stability and wave analysis of Covid-19 omicron variant of real data with fractional operator

Alexandria Engineering Journal, 2022
The fractional derivative is an advanced category of mathematics for real-life problems. This work focus on the investigation of 2nd wave of the Corona virus in India.
Changjin Xu, Muhammad Farman, Ali Hasan, Ali Akgül, Mohammed Zakarya, Wedad Albalawi, Choonkil Park   +6 more
doaj   +1 more source

Convergence to Weighted Fractional Brownian Sheets [PDF]

, 2008
We define weighted fractional Brownian sheets, which are a class of Gaussian random fields with four parameters that include fractional Brownian sheets as special cases, and we give some of their properties.
Garzón, Johanna
core   +3 more sources

Приложение эредитарной модели критичности к исследованию характеристик сейсмического процесса в зоне субдукции Курило-Камчатской островной дуги

Vestnik KRAUNC: Fiziko-Matematičeskie Nauki
В статье представлены результаты статистической обработки данных каталога землетрясений КФ ФИЦ ЕГС РАН за период 01.01.1962 − 31.12.2002 гг. для зоны субдукции Курило-Камчатской островной дуги в рамках ранее представленной авторами эредитарной модели ...
Шереметьева, О.В., Шевцов, Б.М.   +1 more
doaj   +1 more source