Results 101 to 110 of about 372,508 (154)
High Voltage, EarlyView.Abstract Transformers are widely distributed and extremely important energy conversion equipment in the power system. However, the high altitude electromagnetic pulse (HEMP) can induce a steep pulse voltage with a peak value of up to thousands of kilovolts on the overhead line, and the frequency is up to 100 MHz, which is easy to damage the transformer
Han Wu +5 more
wiley +1 more source
Symmetry Analysis of Initial and Boundary Value Problems for Fractional Differential Equations in Caputo sense [PDF]
, 2019 In this work we study Lie symmetry analysis of initial and boundary value problems for partial differential equations (PDE) with Caputo fractional derivative. We give generalized definition and theorem for the symmetry method for PDE with Caputo fractional derivative, according to Bluman's definition and theorem for the symmetry analysis of PDE system.
arxiv +1 more source
A Caputo fractional derivative-based algorithm for optimization
, 2021 We propose a novel Caputo fractional derivative-based optimization algorithm. Upon defining the Caputo fractional gradient with respect to the Cartesian coordinate, we present a generic Caputo fractional gradient descent (CFGD) method. We prove that the CFGD yields the steepest descent direction of a locally smoothed objective function.
Shin, Yeonjong +2 more
openaire +2 more sources
Agricultural Economics, EarlyView.ABSTRACT Evidence regarding whether consumers view plant‐based meat alternatives (PBMAs) as substitutes for or complements to meat is mixed; however, the ultimate effect of increased demand for PBMAs on poultry and livestock production depends on this relationship.
Vincenzina Caputo +2 more
wiley +1 more source
Introduction to the fractional-order chaotic system under fractional operator in Caputo sense
Alexandria Engineering Journal, 2021 In this paper, we consider a new fractional-order chaotic system described by the Caputo fractional derivative. This paper’s main objective is to analyze the bifurcation maps to detect the chaotic regions for a new fractional-order chaotic system.
Ndolane Sene
doaj
A Caputo fractional derivative of a function with respect to another function [PDF]
Communications in Nonlinear Science and Numerical Simulation, 2017 This is a preprint of a paper whose final and definite form will be published in the journal Communications in Nonlinear Science and Numerical ...
openaire +4 more sources
Intrinsic Hopf–Lax formula and Hamilton–Jacobi equation
Bulletin of the London Mathematical Society, EarlyView.Abstract The purpose of this article is to analyze the notion of intrinsic Hopf–Lax formula and its connection with the Hamilton–Jacobi‐type equation.
Daniela Di Donato
wiley +1 more source
Approximations for the Caputo derivative (II) [PDF]
arXiv, 2016 In the present paper we use the expansion formula of the polylogarithm function to construct approximations of the Caputo derivative which are related to the midpoint approximation of the integral in the definition of the Caputo derivative. The asymptotic expansion formula of the Riemann sum approximation of the beta function and the first terms of the
arxiv
On the stable numerical evaluation of caputo fractional derivatives
Computers & Mathematics with Applications, 2006 AbstractThe computation of Caputo's fractional derivatives in the presence of measured data is considered as an ill-posed problem and treated by mollification techniques. It is shown that, with the appropriate choice of the radius of mollification, the method is a regularizing algorithm, and the order of convergence is derived.
openaire +2 more sources
Recovering discrete delayed fractional equations from trajectories
Mathematical Methods in the Applied Sciences, Volume 48, Issue 7, Page 7630-7640, 15 May 2025.We show how machine learning methods can unveil the fractional and delayed nature of discrete dynamical systems. In particular, we study the case of the fractional delayed logistic map. We show that given a trajectory, we can detect if it has some delay effect or not and also to characterize the fractional component of the underlying generation model.
J. Alberto Conejero +2 more
wiley +1 more source