Results 31 to 40 of about 175,341 (275)

Some fundamental properties on the sampling free nabla Laplace transform

open access: yes, 2020
Discrete fractional order systems have attracted more and more attention in recent years. Nabla Laplace transform is an important tool to deal with the problem of nabla discrete fractional order systems, but there is still much room for its development ...
Chen, YangQuan   +3 more
core   +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

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

On fraction order modeling and control of dynamical systems [PDF]

open access: yes, 2009
This paper demonstrates the feasibility of modeling any dynamical system using a set of fractional order di®erential equations, including distributed and lumped systems.
Kahalil, Islam   +3 more
core   +1 more source

Fractional-order feedback control of a poorly damped system [PDF]

open access: yes, 2014
This study presents the design of a fractional-order proportional-integral (FOPI) controller for a mass-spring-damper system which is poorly damped. A model based design technique is used to design a FOPI controller for this system. A good performance of
Chevalier, Amélie   +4 more
core   +2 more sources

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

Synchronization of fractional order chaotic systems

open access: yes, 2004
The chaotic dynamics of fractional order systems begin to attract much attentions in recent years. In this brief report, we study the master-slave synchronization of fractional order chaotic systems.
A. Charef   +20 more
core   +1 more source

Design and practical implementation of a fractional order proportional integral controller (FOPI) for a poorly damped fractional order process with time delay

open access: yes, 2019
One of the most popular tuning procedures for the development of fractional order controllers is by imposing frequency domain constraints such as gain crossover frequency, phase margin and iso-damping properties.
Birs, Isabela Roxana   +4 more
core   +1 more source

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