Results 21 to 30 of about 10,729,116 (245)

Analysis of discrete time schemes for milling forces control under fractional order holds [PDF]

, 2013
In this paper, discrete time model reference control schemes for practical milling using different discretization of the continuous-time plant are presented. First, a basic controller scheme is addressed where a fractional order hold with pre-fixed value
De la Sen, Manuel, Longstaff, Andrew P., De la Sen Parte, Manuel, Alan Myers, Luis Rubio, Longstaff, Andrew, Rubio, Luis, Rubio Rodriguez, Luis, Manuel De la Sen, Andrew Peter Longstaff, Longstaff, Andrew Peter, Myers, Alan   +11 more
core   +1 more source

A comprehensive theoretical model for on-chip microring-based photonic fractional differentiators [PDF]

, 2015
Microring-based photonic fractional differentiators play an important role in the on-chip all-optical signal processing. Unfortunately, the previous works do not consider the time-reversal and the time delay characteristics of the microring-based ...
Yuan, Jinhui, Li, F, Zhou, X, Jin, Boyuan, Wu, Qiang, Yu, C, Zhou, Guiyao, Wang, K, Wai, Ping-kong Alexander, Zhou, Xian, Lu, Chao, Yan, B, Wu, Q, Lu, C, Tam, HY, Yu, Chongxiu, Zhou, G, Li, Feng, Yan, Binbin, Sang, X, Yuan, J, Wai, PKA, Wang, Kuiru, Yaw Tam, Hwa, Sang, Xinzhu, Jin, B   +25 more
core   +1 more source

Measurement Units and Physical Dimensions of Fractance-Part I: Position of Purely Ideal Fractor in Chua’s Axiomatic Circuit Element System and Fractional-Order Reactance of Fractor in Its Natural Implementation

IEEE Access, 2016
Here and in the companion paper (Part II), a novel conceptual framework on the measurement units and physical dimensions of fractance and rules for fractors in series and parallel is mainly discussed.
Yi-Fei Pu
doaj   +1 more source

Splitting spectral element method for fractional reaction-diffusion equations

Journal of Algorithms & Computational Technology, 2020
In this paper, we propose a second-order operator splitting spectral element method for solving fractional reaction-diffusion equations. In order to achieve a fast second-order scheme in time, we decompose the original equation into linear and nonlinear ...
Qi Li, Fangying Song
doaj   +1 more source

Leapfrog/Finite Element Method for Fractional Diffusion Equation

The Scientific World Journal, 2014
We analyze a fully discrete leapfrog/Galerkin finite element method for the numerical solution of the space fractional order (fractional for simplicity) diffusion equation.
Zhengang Zhao, Yunying Zheng
doaj   +1 more source

Analogue Realization of Fractional-Order Dynamical Systems

Entropy, 2013
As it results from many research works, the majority of real dynamical objects are fractional-order systems, although in some types of systems the order is very close to integer order.
Ladislav Pivka, Ivo Petráš, Ľubomír Dorčák, Juraj Valsa, Ján Terpák, Emmanuel Gonzalez   +5 more
doaj   +1 more source

Tunable fractional-order photonic differentiator based on the inverse Raman scattering in a silicon microring resonator [PDF]

, 2015
A novel photonic fractional-order temporal differentiator is proposed based on the inverse Raman scattering (IRS) in the side-coupled silicon microring resonator.
Wu, Q, Yu, CX, Yu, Chongxiu, Farrell, G, Jin, BY, Li, Feng, Yan, Binbin, Wang, KR, Yan, BB, Yuan, Jinhui, Li, F, Jin, Boyuan, Sang, XZ, Wu, Qiang, Yuan, JH, Wai, Ping-kong Alexander, Wai, PKA, Wang, Kuiru, Farrell, Gerald, Sang, Xinzhu   +19 more
core   +1 more source

Fractional calculus of periodic distributions [PDF]

, 2011
Two approaches for defining fractional derivatives of periodic distributions are presented. The first is a distributional version of the Weyl fractional derivative in which a derivative of arbitrary order of a periodic distribution is defined via Fourier
Lamb, Wilson, Khaula N. Khan, Khan, Khaula Naeem, Mcbride, Adam, Adam C. McBride, Wilson Lamb   +5 more
core   +4 more sources

Efficient numerical algorithm with the second-order time accuracy for a two-dimensional nonlinear fourth-order fractional wave equation

Results in Applied Mathematics, 2022
In this article, we construct an efficient numerical algorithm with the second-order time accuracy for a two-dimensional nonlinear fourth-order fractional wave equation.
Jiarui Wang, Yang Liu, Cao Wen, Hong Li
doaj   +1 more source

Human Hypertension Blood Flow Model Using Fractional Calculus

Frontiers in Physiology, 2022
The blood flow dynamics in human arteries with hypertension disease is modeled using fractional calculus. The mathematical model is constructed using five-element lumped parameter arterial Windkessel representation.
Mohamed A. Bahloul, Yasser Aboelkassem, Yasser Aboelkassem, Taous-Meriem Laleg-Kirati, Taous-Meriem Laleg-Kirati   +4 more
doaj   +1 more source