Caracterización eléctrica de tejido sanguíneo mediante función de transferencia

Aguilar, José Francisco Gómez; Alvarado, Juan; García, J.; Calderón, Manuel Guía; Fraga, Teodoro Córdova; Aquino, Modesto Sosa; Cabrera, Francisco Hernández; Anda, Pascual Palomares

doi:10.15174/au.2010.47

Cited by 10 publications

(13 citation statements)

References 4 publications

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“…Now, we shall use the proposed fractional operator in Rosales et al [15,16] to construct a fractional Duffing oscillator. The idea is to introduce an auxiliary parameter (σ) in the system such that this σ must have a dimension in seconds and consistent with the dimension of the ordinary derivative operator.…”

Section: Methodology Of the New Solutionmentioning

confidence: 99%

“…The idea is to introduce an auxiliary parameter (σ) in the system such that this σ must have a dimension in seconds and consistent with the dimension of the ordinary derivative operator. In the work [16], the parameter σ was introduced for the first time, but its geometric interpretation is not treated. After that, this method was applied in the work [15].…”

Section: Methodology Of the New Solutionmentioning

confidence: 99%

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Analysis of fractional duffing oscillator

Eze

2020

Rev. Mex. Fís.

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In this contribution, a simple analytical method (which is an elegant combination of a well known methods; perturbation method and Laplace method) for solving non-linear and non-homogeneous fractional diﬀerential equations is pro- posed. In particular, the proposed method was used to analysed the fractional Duﬃng oscillator.The technique employed in this method can be used to analyse other nonlinear fractional diﬀerential equations, and can also be extended to non- linear partial fractional diﬀerential equations.The performance of this method is reliable, eﬀective and gives more general solution.

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Section: Methodology Of the New Solutionmentioning

confidence: 99%

Section: Methodology Of the New Solutionmentioning

confidence: 99%

Analysis of fractional duffing oscillator

Eze

2020

Rev. Mex. Fís.

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“…Recently Gómez et al (2012a) proposed a systematic way to construct fractional differential equations for the physical systems. Such a way consists in analyzing the dimensionality of the ordinary derivative operator and trying to bring it to a fractional derivative operator consistently.…”

Section: Fractional Electrical Circuit Rcmentioning

confidence: 99%

Fractional RC and LC Electrical Circuits

Francisco¹,

Juan²,

Manuel³

et al. 2014

Ingeniería, Investigación y Tecnología

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In this paper we propose a fractional differential equation for the electrical RC and LC circuit in terms of the fractional time derivatives of the Caputo type. The order of the derivative being considered is 0 <  ≤ 1. To keep the dimensionality of the physical parameters R, L, C the new parameter σ is introduced. This parameter characterizes the existence of fractional structures in the system. A relation between the fractional order time derivative  and the new parameter σ is found. The numeric Laplace transform method was used for the simulation of the equations results. The results show that the fractional differential equations generalize the behavior of the charge, voltage and current depending of the values of . The classical cases are recovered by taking the limit when  = 1. An analysis in the frequency domain of an RC circuit shows the application and use of fractional order differential equations.

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“…In fact, fractional calculus is now applied successfully to address several problems of physics, see some examples in Refs. [15][16][17][18][19].…”

Section: Introductionmentioning

confidence: 99%

On fractional Liénard--type systems

et al. 2019

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In this work we present numerical results of classical Li\'{e}nard--type systems in a very general context, since we consider several types of derivatives (integer order and fractional order, global and local). Additionally we made theoretical-methodological observations. En este trabajo presentamos resultados num´ericos de sistemas tipo Li´enard en un contexto muy general ya que consideramos varios tipos dederivadas (de orden entero y fraccionario, globales y locales). Adicionalmente hacemos observaciones te ´oricas y metodol´ogicas.

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Caracterización eléctrica de tejido sanguíneo mediante función de transferencia

Cited by 10 publications

References 4 publications

Analysis of fractional duffing oscillator

Analysis of fractional duffing oscillator

Fractional RC and LC Electrical Circuits

On fractional Liénard--type systems

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