A hybrid analytical method for fractional order Klein–Gordon and Burgers equations
Publication Date
Fri Nov 24 2017
Journal Name
Journal Of Engineering
A New Analytic Method to Tune a Fractional Order PID Controller
Fractional order PID controller
gain crossover frequency
phase margin
peak magnitude at resonant frequency.
This paper proposes a new method to tune a fractional order PID controller. This method utilizes both the analytic and numeric approach to determine the controller parameters. The control design specifications that must be achieved by the control system are gain crossover frequency, phase margin, and peak magnitude at the resonant frequency, where the latter is a new design specification suggested by this paper. These specifications results in three equations in five unknown variables. Assuming that certain relations exist between two variables and discretizing one of them, a performance index can be evaluated and the optimal controller parameters that minimize this performance index are selected. As a case study, a thir
... Show MorePublication Date
Mon Jun 19 2017
Journal Name
Arabian Journal For Science And Engineering
(33)
(29)
Publication Date
Sun Oct 01 2017
Journal Name
Journal Of The Association Of Arab Universities For Basic And Applied Sciences
(7)
Publication Date
Sun Sep 01 2024
Journal Name
Partial Differential Equations In Applied Mathematics
(3)
(3)
Publication Date
Tue Mar 30 2021
Journal Name
Baghdad Science Journal
Solving Fractional Damped Burgers' Equation Approximately by Using The Sumudu Transform (ST) Method
Caputo derivative
Fractional calculus
Fractional damped Burger's equation
Sumudu transform.
In this work, the fractional damped Burger's equation (FDBE) formula = 0,
(8)
(2)
Publication Date
Sat Oct 01 2022
Journal Name
Journal Of Computational Science
(31)
Publication Date
Sat Oct 01 2022
Journal Name
Journal Of Computational Science
(36)
Publication Date
Thu Jan 01 2015
Journal Name
Journal Of The College Of Basic Education
Efficient Modifications of the Adomian Decomposition Method for Thirteenth Order Ordinary Differential Equations
Modification adomian decomposition method
Boundary value
problems
Linear and Nonlinear Problems
Approximate Solution.
This paper deals with the thirteenth order differential equations linear and nonlinear in boundary value problems by using the Modified Adomian Decomposition Method (MADM), the analytical results of the equations have been obtained in terms of convergent series with easily computable components. Two numerical examples results show that this method is a promising and powerful tool for solving this problems.
Publication Date
Wed Apr 01 2020
Journal Name
Isa Transactions
(48)
(40)
Publication Date
Thu Aug 31 2023
Journal Name
Journal Of Kufa For Mathematics And Computer