Results 31 to 40 of about 531 (214)
Mathematics, 2023 We introduce fractal Newton methods for solving f(x)=0 that generalize and improve the classical Newton method. We compare the theoretical efficacy of the classical and fractal Newton methods and illustrate the theory with examples.
Ali Akgül, David Grow
doaj +1 more source
A Fractal Rheological Model for SiC Paste using a Fractal Derivative
Journal of Applied and Computational Mechanics, 2020 The rheological property plays an important role in a free-form extrusion 3D printing process, no rheological model was available in open literature that could effectively take into account effects of both the non-Newtonian viscosity and the concentration of nano/micro particles in a paste. Here a fractal law for non-Newtonian fluids is suggested using
Zuo, Yuting, Liu, Hongjun
openaire +2 more sources
Fractal Derivative Model for Air Permeability in Hierarchic Porous Media
Abstract and Applied Analysis, 2012 Air permeability in hierarchic porous media does not obey Fick's equation or its modification because fractal objects have well-defined geometric properties, which are discrete and discontinuous. We propose a theoretical model dealing with, for the first
Jie Fan, Jihuan He
doaj +1 more source
Two core optical fibers coupled nonlinear model in the framework of Hausdorff fractal derivative
Results in Physics, 2021 In this article, two core optical fibers coupled nonlinear model in the sense of Hausdorff fractal derivative is established for the construction of bright, dark, and exponential novel solitons. The model built in terms of the fractal derivative is ideal
Y. Khan, N. Faraz, H.A. Alsulaimani
doaj +1 more source
Journal of Function Spaces, 2021 In this paper, we investigate the implementations of newly introduced nonlocal differential operators as convolution of power law, exponential decay law, and the generalized Mittag-Leffler law with fractal derivative in fluid dynamics.
Imran Siddique +4 more
doaj +1 more source
Variational approach to fractal reaction-diffusion equations with fractal derivatives
Thermal Science, 2021 A fractal modification of the reaction-diffusion process is proposed with fractal derivatives, and a fractal variational principle is established in a fractal space. The concentration of the substrate can be determined according to the minimal value of the variational formulation.
openaire +2 more sources
Deep Learning Pose Estimation for Phenotyping of Co‐Occurring Hyperkinetic Movement Disorders
Annals of Clinical and Translational Neurology, EarlyView.ABSTRACT Objective To explore whether routine outpatient video combined with deep learning‐based pose estimation and clinically interpretable kinematic features can support multi‐label phenotyping of co‐occurring hyperkinetic movement disorders (HMDs).
Laura Cif +17 more
wiley +1 more source
About Kepler’s Third Law on fractal-time spaces
Ain Shams Engineering Journal, 2018 In this paper, a mathematical model for fractal-time space is given involving Fα-calculus. Differential equations corresponding of the free fall motion and simple harmonic oscillator on fractal-time space are given and solved.
Alireza K. Golmankhaneh
doaj +1 more source
A fractal micro-electromechanical system and its pull-in stability
Journal of Low Frequency Noise, Vibration and Active Control, 2021 Pull-in instability occurs in a micro-electromechanical system, and it greatly hinders its normal operation. A fractal modification is suggested to make the system stable in all operation period. A fractal model is established using a fractal derivative,
Dan Tian, Chun-Hui He
doaj +1 more source
Derivative coordinates for analytic tree fractals and fractal engineering
CoRR, 2015 We introduce an alternative coordinate system based on derivative polar and spherical coordinate functions and construct a root-to-canopy analytic formulation for tree fractals. We develop smooth tree fractals and demonstrate the equivalence of their canopies with iterative straight lined tree fractals.
openaire +2 more sources