Results 31 to 40 of about 127,292 (260)

Fractional-Order Traveling Wave Approximations for a Fractional-Order Neural Field Model

open access: yesFrontiers in Computational Neuroscience, 2022
In this work, we establish a fractional-order neural field mathematical model with Caputo's fractional derivative temporal order α considering 0 < α < 2, to analyze the effect of fractional-order on cortical wave features observed preceding seizure
Laura R. González-Ramírez
doaj   +1 more source

Fractional-Order Euler-Lagrange Equation for Fractional-Order Variational Method: A Necessary Condition for Fractional-Order Fixed Boundary Optimization Problems in Signal Processing and Image Processing

open access: yesIEEE Access, 2016
This paper discusses a novel conceptual formulation of the fractional-order Euler-Lagrange equation for the fractional-order variational method, which is based on the fractional-order extremum method. In particular, the reverse incremental optimal search
Yi-Fei Pu
doaj   +1 more source

Fractional-Order LQR and State Observer for a Fractional-Order Vibratory System

open access: yesApplied Sciences, 2021
The present study uses linear quadratic regulator (LQR) theory to control a vibratory system modeled by a fractional-order differential equation. First, as an example of such a vibratory system, a viscoelastically damped structure is selected.
Akihiro Takeshita   +3 more
doaj   +1 more source

Order Fractionalization

open access: yes, 2018
The confluence of quantum mechanics and complexity, which leads to the emergence of rich, exotic states of matter, motivates the extension of our concepts of quantum ordering. The twin concepts of spontaneously broken symmetry, described in terms of a Landau order parameter, and of off-diagonal long-range order (ODLRO), are fundamental to our ...
Komijani, Yashar   +3 more
openaire   +2 more sources

Fractional order electromagnetics [PDF]

open access: yesSignal Processing, 2006
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Machado, J. A. Tenreiro   +3 more
openaire   +3 more sources

Survey Study of Factional Order Controllers

open access: yesJournal of Engineering, 2020
This is a survey study that presents recent researches concerning factional controllers. It presents several types of fractional order controllers, which are extensions to their integer order counterparts.
Omar Waleed Abdulwahhab   +1 more
doaj   +1 more source

Fractional order heroin epidemic dynamics

open access: yesAlexandria Engineering Journal, 2021
Using illicit drugs has been on growth in all over the world especially in the USA, Europe and Asia. It is very harmful to society; it is the fourth foremost cause of death in the United States when taking overdose drug (about the same as motor vehicle ...
Zain Ul Abadin Zafar   +5 more
doaj   +1 more source

Fractional Order Generalized Information

open access: yesEntropy, 2014
This paper formulates a novel expression for entropy inspired in the properties of Fractional Calculus. The characteristics of the generalized fractional entropy are tested both in standard probability distributions and real world data series.
José Tenreiro Machado
doaj   +1 more source

Fractional-Order LC Three-Phase Inverter Using Fractional-Order Virtual Synchronous Generator Control and Adaptive Rotational Inertia Optimization

open access: yesMachines
The application of fractional calculus in power electronics modeling provides an innovative method for improving inverter performance. This paper presents a three-phase inverter topology with fractional-order LC filter characteristics, analyzes its ...
Junhua Xu   +5 more
doaj   +1 more source

Fractional Order Runge–Kutta Methods

open access: yesFractal and Fractional, 2023
This paper presents a new class of fractional order Runge–Kutta (FORK) methods for numerically approximating the solution of fractional differential equations (FDEs).
Farideh Ghoreishi   +2 more
doaj   +1 more source

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