Results 31 to 40 of about 9,418,765 (294)

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

open access: yes, 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   +25 more
core   +1 more source

Fractional order modelling of fractional-order holds [PDF]

open access: yesNonlinear Dynamics, 2012
Discrete time control systems require sample-and-hold circuits to perform the conversion from digital to analog. Fractional-Order Holds (FROHs) are an interpolation between the classical zero and first order holds and can be tuned to produce better system performance.
openaire   +2 more sources

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

open access: yes, 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   +19 more
core   +1 more source

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

Conformable Fractional Order Sliding Mode Control for a Class of Fractional Order Chaotic Systems [PDF]

open access: yesInternational Journal of Industrial Electronics, Control and Optimization, 2019
In this paper, a novel conformable fractional order (FO) sliding mode control technique is studied for a class of FO chaotic systems in the presence of uncertainties and disturbances.
Sara Haghighatnia   +2 more
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

On Moduli of Smoothness of Fractional Order [PDF]

open access: yesReal Analysis Exchange, 2005
In this paper we consider the properties of moduli of smoothness of fractional order. The main result of the paper describes the equivalence of the modulus of smoothness and a function from some class.
openaire   +3 more sources

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

Realization of fractional band pass filter on reconfigurable analog device

open access: yes, 2021
This paper presents a realization of fractional-order Band pass-filter (FOBF) based on the concepts of fractional order inductors and fractional order capacitors. The FOBF is designed and implemented using both simulation and hardware approaches.
Narayan, Sunil   +11 more
core   +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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