Zobrazeno 1 - 10
of 342
pro vyhledávání: '"J.A. Tenreiro Machado"'
Publikováno v:
Journal of Advanced Research, Vol 32, Iss , Pp 45-60 (2021)
Introduction: During the last years the modeling of dynamical phenomena has been advanced by including concepts borrowed from fractional order differential equations. The diffusion process plays an important role not only in heat transfer and fluid f
Externí odkaz:
https://doaj.org/article/ce789212696b4bdc86023094d32196bb
Publikováno v:
Alexandria Engineering Journal, Vol 59, Iss 5, Pp 3247-3254 (2020)
The time-domain approximation of the Grünwald–Letnikov fractional derivative is intuitive and widely adopted in the design of fractional-order proportional-integral (FOPI) controllers. To solve the accuracy reduction caused by truncating the serie
Externí odkaz:
https://doaj.org/article/ab359f5e8a094a89864493914eaf9ab4
Autor:
Liping Chen, Xiaobo Wu, Linpeng Xu, António M. Lopes, J.A. Tenreiro Machado, Ranchao Wu, Suoliang Ge
Publikováno v:
Alexandria Engineering Journal, Vol 59, Iss 5, Pp 3091-3104 (2020)
It was demonstrated recently that ideal capacitors can not exist physically and that the behavior of real-world inductors and capacitors is characterized by fractional-order (FO) models. Therefore, the modeling and analysis of FO electrical circuit n
Externí odkaz:
https://doaj.org/article/8e16442eca49476aa44a6a8591fc61de
Numerical evaluation of fractional Tricomi-type model arising from physical problems of gas dynamics
Publikováno v:
Journal of Advanced Research, Vol 25, Iss , Pp 205-216 (2020)
This paper deals with approximating the time fractional Tricomi-type model in the sense of the Caputo derivative. The model is often adopted for describing the anomalous process of nearly sonic speed gas dynamics. The temporal semi-discretization is
Externí odkaz:
https://doaj.org/article/6c4e1126b482449a94ea925d66a00da5
Publikováno v:
Journal of Advanced Research, Vol 25, Iss , Pp 147-157 (2020)
This paper combines the synergies of three mathematical and computational generalizations. The concepts of fractional calculus, memristor and information visualization extend the classical ideas of integro-differential calculus, electrical elements a
Externí odkaz:
https://doaj.org/article/9dfaef6f425940d59900ecca7d9a9124
Publikováno v:
Journal of Advanced Research, Vol 25, Iss , Pp 97-109 (2020)
This paper is devoted to the problem of uncertainty in fractional-order Chaotic systems implemented by means of standard electronic components. The fractional order element (FOE) is typically substituted by one complex impedance network containing a
Externí odkaz:
https://doaj.org/article/bc2012e98a5b43b9b9e3c351c800da7c
Publikováno v:
Journal of Advanced Research, Vol 25, Iss , Pp 1-10 (2020)
In this paper we introduce new discrete-time derivative concepts based on the bilinear (Tustin) transformation. From the new formulation, we obtain derivatives that exhibit a high degree of similarity with the continuous-time Grünwald-Letnikov deriv
Externí odkaz:
https://doaj.org/article/523f53f8ed7e456fa8e041fe5167f425
Autor:
A.M. Lopes, J.A. Tenreiro Machado
Publikováno v:
Bulletin of the Polish Academy of Sciences: Technical Sciences, Vol 67, Iss No. 1, Pp 61-67 (2019)
This paper adopts a fractional calculus perspective to describe a non-linear electrical inductor. First, the electrical impedance spectroscopy technique is used for measuring the impedance of the device. Second, the experimental data is approximated
Externí odkaz:
https://doaj.org/article/53ae0887a16642c7ae213d2189c81e85
Publikováno v:
Journal of King Saud University: Science, Vol 33, Iss 1, Pp 101243- (2021)
This paper adopts an efficient meshless approach for approximating the nonlinear fractional fourth-order diffusion model described in the Riemann–Liouville sense. A second-order difference technique is applied to discretize temporal derivatives, wh
Externí odkaz:
https://doaj.org/article/a6a3709471e342e2b82a5dea647b9847
Publikováno v:
Symmetry, Vol 11, Iss 1, p 103 (2019)
This article considers the fourth-order family of weighted-Newton methods. It provides the range of initial guesses that ensure the convergence. The analysis is given for Banach space-valued mappings, and the hypotheses involve the derivative of orde
Externí odkaz:
https://doaj.org/article/217de006a9834114bb9ac05fdff0ba74