On the fractional-order modeling of wine

Lopes, António M.; Machado, J. A. Tenreiro; Ramalho, Elisa

doi:10.1007/s00217-016-2806-x

Cited by 19 publications

(10 citation statements)

References 47 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…-heat transfer process modeling [21][22][23][24][25], -the study of biomedical signals [26,27], -analyses of control systems [28,29], including several studies concerning the control of synchronous machines [30][31][32][33], -electrical impedance spectroscopy [34][35][36] -the design of fractional-order filters [37,38] -electric and magnetic field studies [39,40], -modeling of seismic mass transducers [41], -continuum mechanics [42].…”

Section: Application Of Fractional Calculusmentioning

confidence: 99%

Ferromagnetic core coil hysteresis modeling using fractional derivatives

Sowa

Majka

2020

Nonlinear Dyn

View full text Add to dashboard Cite

The modeling of a ferromagnetic core coil magnetic hysteresis has been considered. The measurement basis consisted of waveforms that have been recorded for various levels of the iron core saturation levels. The investigated models included classical cases as well as models including a nonlinear fractional coil. The possibilities of solutions for transient problems including such models have been recalled. The details of the estimation process have been described next, where each model evaluation made use of an original methodology dealing with periodic steady states. The influence of the model response on parameter changes has also been studied. Further on the parameter estimation procedure has been described, and the results for the various models have been presented.

show abstract

Section: Application Of Fractional Calculusmentioning

confidence: 99%

Ferromagnetic core coil hysteresis modeling using fractional derivatives

Sowa

Majka

2020

Nonlinear Dyn

View full text Add to dashboard Cite

show abstract

“…Usually, the presence or absence of linear conditions must be tested in advance [24,25]. EIS avoids costly procedures and has been used in a variety of distinct elements, such as vegetable [26] and animal [27] tissues, food liquids [28], materials [29], devices [30] and others [31].…”

Section: Fundamental Tools (A) Electrical Impedance Spectroscopymentioning

confidence: 99%

Fractional-order modelling of epoxy resin

Machado

Lopes

Camposinhos

2020

Phil. Trans. R. Soc. A.

Self Cite

View full text Add to dashboard Cite

This paper describes epoxy resins by means of electrical impedance spectroscopy (EIS) and the mathematical tool of fractional calculus (FC). Two stages are considered: first, the EIS is used for testing the samples and, second, the measured data are approximated using integer and fractional order models. The FC-based modelling describes the epoxy resins using a small number of parameters that reflect their main characteristics. The EIS data gathered for the epoxies samples are compared with those of different adhesives and sealants by means of a hierarchical clustering algorithm that unravels the relationships between the distinct materials. This article is part of the theme issue ‘Advanced materials modelling via fractional calculus: challenges and perspectives’.

show abstract

“…Fractional calculus (differentiation and integration of order α ∈ R + ), earlier considered to be a branch of pure mathematical analysis, has now been found to be extremely useful in various fields of applied sciences. It plays a vital role in modeling diverse physical and natural phenomena including neural networks [1], bio-electrodes [2], bio-materials [3], mathematical biology and bifurcations [4][5][6][7], finance and economics [8], electrical and mechanical engineering [9][10][11][12][13][14][15], fluid dynamics [16], control systems [17], plant genetics [18][19][20] and many more. One of the major reasons for the rapidly increasing popularity of this field is its capability of modeling all those dynamic systems which have history (memory) effects and anomalous behavior, which is something common in most of the physical and natural systems.…”

Section: Introductionmentioning

confidence: 99%

Comparative analysis of Riemann-Liouville, Caputo-Fabrizio, and Atangana-Baleanu integrals

Shaikh¹

2022

J. Appl. Math. Comput. Mech.

View full text Add to dashboard Cite

This study analyzes the most commonly used operators of the Riemann-Liouville, the Caputo-Fabrizio, and the Atangana-Baleanu integral operators. Firstly, a numerical scheme for the Riemann-Liouville fractional integral has been discussed. Then, two numerical techniques have been suggested for the remaining two operators. The experimental order of convergence for the schemes is further supported by the computations of absolute relative error at the final nodal point over the integration interval [0, T ]. Comparative analysis of the integrals reveals that the Riemann-Liouville fractional integral yields the most minor errors and the most significant experimental order of convergence in the majority of functions, particularly when the fractional-order parameter α → 0. It is worth noting that the Atangana-Baleanu has proved to be an essential operator for solving many dynamical systems that a single RL operator cannot handle. All of the three integral operators coincide with each other for α = 1. Mathematica 11.3 for an Intel(R) Core(TM) i3-4500U processor running on 1.70 GHz is used to carry out all the necessary computations.

show abstract

On the fractional-order modeling of wine

Cited by 19 publications

References 47 publications

Ferromagnetic core coil hysteresis modeling using fractional derivatives

Ferromagnetic core coil hysteresis modeling using fractional derivatives

Fractional-order modelling of epoxy resin

Comparative analysis of Riemann-Liouville, Caputo-Fabrizio, and Atangana-Baleanu integrals

Contact Info

Product

Resources

About