Enhanced FPGA realization of the fractional-order derivative and application to a variable-order chaotic system
Sign Up to like & getrecommendations! Published in 2020 at "Nonlinear Dynamics"
DOI: 10.1007/s11071-019-05449-w
Abstract: The efficiency of the hardware implementations of fractional-order systems heavily relies on the efficiency of realizing the fractional-order derivative operator. In this work, a generic hardware implementation of the fractional-order derivative based on the Grünwald–Letnikov’s… read more here.
Keywords: order; fractional order; application variable; order chaotic ... See more keywords
Application of fractional-order derivative in the quantitative estimation of soil organic matter content through visible and near-infrared spectroscopy
Sign Up to like & getrecommendations! Published in 2019 at "Geoderma"
DOI: 10.1016/j.geoderma.2018.10.025
Abstract: Abstract The spectral preprocessing method has become an integral component of soil analysis through visible and near-infrared (Vis-NIR) spectroscopy. Various spectral pretreatment techniques are applied to improve model accuracy by removing undesired side effects, such… read more here.
Keywords: order; spectroscopy; soil; order derivative ... See more keywords
Higher order derivative operators as quantum corrections
Sign Up to like & getrecommendations! Published in 2019 at "Nuclear Physics B"
DOI: 10.1016/j.nuclphysb.2019.114634
Abstract: Abstract In this paper we propose a non-minimal, and ghost free, coupling between the gauge field and the fermionic one from which we obtain, perturbatively, terms with higher order derivatives as quantum corrections to the… read more here.
Keywords: order; higher order; operators quantum; order derivative ... See more keywords
On the role of the second-order derivative term in the calculation of convergent beam diffraction patterns.
Sign Up to like & getrecommendations! Published in 2017 at "Ultramicroscopy"
DOI: 10.1016/j.ultramic.2017.04.001
Abstract: The simulation of (scanning) transmission electron microscopy images and diffraction patterns is most often performed using the forward-scattering approximation where the second-order derivative term in z is assumed to be small with respect to the… read more here.
Keywords: order; derivative term; second order; diffraction patterns ... See more keywords
Analytical Formulation of the Second-Order Derivative of Energy for the Orbital-Optimized Variational Quantum Eigensolver: Application to Polarizability.
Sign Up to like & getrecommendations! Published in 2022 at "Journal of chemical theory and computation"
DOI: 10.1021/acs.jctc.2c01176
Abstract: We develop a quantum-classical hybrid algorithm to calculate the analytical second-order derivative of the energy for the orbital-optimized variational quantum eigensolver (OO-VQE), which is a method to calculate eigenenergies of a given molecular Hamiltonian by… read more here.
Keywords: order derivative; derivative energy; second order; quantum ... See more keywords
On Impulsive Boundary Value Problem with Riemann-Liouville Fractional Order Derivative
Sign Up to like & getrecommendations! Published in 2021 at "Journal of Function Spaces"
DOI: 10.1155/2021/8331731
Abstract: Our manuscript is devoted to investigating a class of impulsive boundary value problems under the concept of the Riemann-Liouville fractional order derivative. The subject problem is of implicit type. We develop some adequate conditions for… read more here.
Keywords: fractional order; boundary value; order derivative; riemann liouville ... See more keywords
First-order derivative matrix of a ray: a simple and flexible alternative computation method.
Sign Up to like & getrecommendations! Published in 2019 at "Optics express"
DOI: 10.1364/oe.27.035402
Abstract: The present group previously proposed a method for determining the first-order derivative matrix (i.e., the Jacobian matrix) of a skew ray by taking all the independent variables of the optical system as the system variable… read more here.
Keywords: order; first order; derivative matrix; matrix ... See more keywords
A new general fractional-order derivative with Rabotnov fractional-exponential kernel
Sign Up to like & getrecommendations! Published in 2019 at "Thermal Science"
DOI: 10.2298/tsci180825254y
Abstract: In this article, a general fractional-order derivative of the Riemann-Liouville type with the non-singular kernel involving the Rabotnov fractional-exponential function is addressed for the first time. A new general fractional-order derivative model for the anomalous… read more here.
Keywords: fractional exponential; general fractional; order derivative; fractional order ... See more keywords
Heat Transfer Analysis for Non-Contacting Mechanical Face Seals Using the Variable-Order Derivative Approach
Sign Up to like & getrecommendations! Published in 2021 at "Energies"
DOI: 10.3390/en14175512
Abstract: This article presents a variable-order derivative (VOD) time fractional model for describing heat transfer in the rotor or stator in non-contacting mechanical face seals. Most theoretical studies so far have been based on the classical… read more here.
Keywords: heat; non contacting; order derivative; heat transfer ... See more keywords
Study of Transmission Dynamics of Streptococcus suis Infection Mathematical Model between Pig and Human under ABC Fractional Order Derivative
Sign Up to like & getrecommendations! Published in 2022 at "Symmetry"
DOI: 10.3390/sym14102112
Abstract: In this paper, a mathematical model for Streptococcus suis infection is improved by using the fractional order derivative. The modified model also investigates the transmission between pigs and humans. The proposed model can classify the… read more here.
Keywords: order derivative; class; infection; model ... See more keywords