Results 51 to 60 of about 11,089,487 (322)

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

Global dynamics of a fractional order model for the transmission of HIV epidemic with optimal control

open access: yesChaos, Solitons & Fractals, 2020
Highlights • Fractional order SEIR epidemic model with two infectious 'stages' is proposed.• Global dynamics of the model is performed.• Numerical simulations using Adam-Beshforth-Moulton method are conducted to support our results.• To present ...
Parvaiz Ahmad Naik, Jian Zu, K. Owolabi
semanticscholar   +1 more source

Adaptive Fuzzy Control for Fractional-Order Interconnected Systems With Unknown Control Directions [PDF]

open access: yesIEEE transactions on fuzzy systems, 2020
This article concentrates on the study of the decentralized fuzzy control method for a class of fractional-order interconnected systems with unknown control directions.
Bingyun Liang   +3 more
semanticscholar   +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

An Integral Equation Involving Legendre Functions [PDF]

open access: yes, 1964
Rodrigues’s formula can be applied also to (1.1) and (1.3) but here the situation is slightly more involved in that the integrals with respect to σ^2 are of fractional order and their inversion requires the knowledge of differentiation and integration of
Erdélyi, A.
core   +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 Difference Equations

open access: yesInternational Journal of Differential Equations, 2012
A difference equation is a relation between the differences of a function at one or more general values of the independent variable. These equations usually describe the evolution of certain phenomena over the course of time. The present paper deals with
J. Jagan Mohan, G. V. S. R. Deekshitulu
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

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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