Search Results - "Machado, J.A. Tenreiro"

A review of definitions of fractional derivatives and other operators by Sales Teodoro, G., Tenreiro Machado, J.A., Capelas de Oliveira, E.

“…•List of the proposals for non-integer order operators and derivatives.•Classification of the present-day formulations of non-integer order…”
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Fractional Electrical Impedances in Botanical Elements by Jesus, Isabel S., Tenreiro Machado, J.A., Boaventure Cunha, J.

“…Fractional calculus (FC) is no longer considered solely from a mathematical viewpoint, and is now applied in many emerging scientific areas, such as…”
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Numerical evaluation of the fractional Klein–Kramers model arising in molecular dynamics by Nikan, O., Tenreiro Machado, J.A., Golbabai, A., Rashidinia, J.

“…The time fractional Klein–Kramers model (TFKKM) is obtained by incorporating the subdiffusive mechanisms into the Klein–Kramers formalism. The TFKKM can…”
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Optimal control of nonlinear fed-batch process using direct transcription method by Simorgh, Abolfazl, Razminia, Abolhassan, Tenreiro Machado, J.A.

“…•The control problem of the nonlinear fed-batch bioreactor is carried out using direct collocation method.•The proposed performance index to be minimized has a…”
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Electrochemical impedance spectroscopy characterization of beverages by Soares, C., Tenreiro Machado, J.A., Lopes, António M., Vieira, E., Delerue-Matos, C.

“…•We use electrochemical impedance spectroscopy to characterize beverages.•The similarities between the data are measured by the Euclidean and Canberra…”
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Dynamic stability analysis of fractional order leaky integrator echo state neural networks by Pahnehkolaei, Seyed Mehdi Abedi, Alfi, Alireza, Tenreiro Machado, J.A.

“…•The contribution of this paper is to address the stability analysis of fractional-order Leaky-echo state neural network.•The existence, uniqueness and…”
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An efficient local meshless approach for solving nonlinear time-fractional fourth-order diffusion model by Nikan, O., Avazzadeh, Z., Tenreiro Machado, J.A.

“…This paper adopts an efficient meshless approach for approximating the nonlinear fractional fourth-order diffusion model described in the Riemann–Liouville…”
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A local stabilized approach for approximating the modified time-fractional diffusion problem arising in heat and mass transfer by Nikan, O., Avazzadeh, Z., Machado, J.A. Tenreiro

“…[Display omitted] •The modified time-fractional diffusion model plays an important role in heat transfer and fluid flow problems.•A meshless method based on…”
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Numerical evaluation of fractional Tricomi-type model arising from physical problems of gas dynamics by Nikan, O., Machado, J.A. Tenreiro, Avazzadeh, Z., Jafari, H.

“…[Display omitted] •The fractional Tricomi-type model is adopted for describing the anomalous process of nearly sonic speed gas dynamics.•A new hybrid scheme…”
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New discrete-time fractional derivatives based on the bilinear transformation: Definitions and properties by Ortigueira, Manuel D., Tenreiro Machado, J.A.

“…[Display omitted] •The paper introduces new discrete-time derivative concepts based on the bilinear transformation.•Forward and backward derivatives having a…”
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Multidimensional scaling locus of memristor and fractional order elements by Tenreiro Machado, J.A., Lopes, António M.

“…[Display omitted] •Generalization of the periodic table of elements.•Inclusion of fractional order elements.•2- and 3-dimensional maps of elements organized…”
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Analysis and implementation of fractional-order chaotic system with standard components by Yao, Juan, Wang, Kunpeng, Huang, Pengfei, Chen, Liping, Machado, J.A. Tenreiro

“…[Display omitted] This paper is devoted to the problem of uncertainty in fractional-order Chaotic systems implemented by means of standard electronic…”
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Effect of fractional orders in the velocity control of a servo system by Barbosa, Ramiro S., Tenreiro Machado, J.A., Jesus, Isabel S.

“…The application of fractional-order PID controllers is now an active field of research. This article investigates the effect of fractional (derivative and…”
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A variable-order fractional proportional-integral controller and its application to a permanent magnet synchronous motor by Chen, Liping, Chen, Gang, Li, Penghua, Lopes, António M., Tenreiro Machado, J.A., Xu, Shuiqing

“…The time-domain approximation of the Grünwald–Letnikov fractional derivative is intuitive and widely adopted in the design of fractional-order…”
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Analysis of a rectangular prism n-units RLC fractional-order circuit network by Chen, Liping, Wu, Xiaobo, Xu, Linpeng, Lopes, António M., Tenreiro Machado, J.A., Wu, Ranchao, Ge, Suoliang

“…It was demonstrated recently that ideal capacitors can not exist physically and that the behavior of real-world inductors and capacitors is characterized by…”
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Analysis of the Van der Pol Oscillator Containing Derivatives of Fractional Order by Barbosa, Ramiro S., Machado, J.A. Tenreiro, Vinagre, B.M., Calderón, A.J.

“…In this paper a modified version of the classical Van der Pol oscillator is proposed, introducing fractional-order time derivatives into the state-space model…”
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A Historical Perspective of Legged Robots by Silva, Manuel F., Tenreiro Machado, J.A.

“…The objective of this paper is to present the evolution and the state-of-the-art in the area of legged locomotion systems. In a first phase different…”
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Optimal approximation of fractional derivatives through discrete-time fractions using genetic algorithms by Tenreiro Machado, J.A., Galhano, Alexandra M., Oliveira, Anabela M., Tar, József K.

“…This study addresses the optimization of rational fraction approximations for the discrete-time calculation of fractional derivatives. The article starts by…”
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Approximating fractional derivatives through the generalized mean by Tenreiro Machado, J.A., Galhano, Alexandra M., Oliveira, Anabela M., Tar, József K.

“…This paper addresses the calculation of fractional order expressions through rational fractions. The article starts by analyzing the techniques adopted in the…”
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A new fractional operator of variable order: Application in the description of anomalous diffusion by Yang, Xiao-Jun, Machado, J.A. Tenreiro

“…In this paper, a new fractional operator of variable order with the use of the monotonic increasing function is proposed in sense of Caputo type. The…”
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