Browsing by Author "Gomez Aguilar, Jose Francisco"

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Citation Count: Solís-Pérez, J.E...et al. (2020). "Anti-Synchronization of Chaotic Systems Using A Fractional Conformable Derivative With Power Law",Mathematical Methods in the Applied Sciences.
Anti-Synchronization of Chaotic Systems Using A Fractional Conformable Derivative With Power Law
(John Wiley and Sons LTD., 2020) Solis Perez, Jesus Emmanuel; Gomez Aguilar, Jose Francisco; Baleanu, Dumitru; Tchier, Fairouz; Ragoub, Lakhdar; 56389
In this paper, we propose a new numerical method based on two-step Lagrange polynomial interpolation to get numerical simulations and adaptive anti-synchronization schemes for two fractional conformable attractors of variable order. It was considered the fractional conformable derivative in Liouville-Caputo sense. The novel numerical method was applied to derive new results from the anti-synchronization of the identical uncertain Wang-Sun attractors and three-dimensional chaotic system using fractional conformable sliding mode control. Numerical examples show the effectiveness of the adaptive fractional conformable anti-synchronization schemes for the uncertain chaotic systems considered in this paper.
Citation Count: Cordova Fraga, Teodoro...et al. (2018). "Magnetic Stimulation on Human Blood Electromotive force analysis", Revista de Chimie, Vol. 69, No. 11, pp. 3037-3041.
Magnetic Stimulation on Human Blood Electromotive force analysis
(Chiminform Data SA, 2018) Cordova Fraga, Teodoro; Maria Magdaleno, Dulce; Gomez Aguilar, Jose Francisco; Olivia Murillo, Blanca; Sosa, Modesto; Baleanu, Dumitru; Guzman Cabrera, Rafael; 56389
In this work a comparative theoretical analysis vs. experimental study on human blood under a magnetic field stimulation is presented. Twenty samples of leukoreduced human blood were stimulated alternant magnetic field using a Helmholtz coil system; this magnetic field induced an electromotive force in them. Theoretical calculations were performed for the induced electromotive force in a simple model of blood tissue under magnetic stimulation at frequencies: 50 Hz, 100 Hz, 800 Hz, and 1500 Hz. Experimental measurement was performed at the same frequencies for comparison purposes. Results show a high correlation between theoretical and experimental study, as well as effects of agglutination in the stimulated blood cells.
Citation Count: Gomez Aguilar, Jose Francisco; Baleanu, Dumitru, "Solutions Of The Telegraph Equations Using A Fractional Calculus Approach", Proceedings Of The Romanian Academy Series A-Mathematics Physics Technical Sciences Information Science, 15, No. 1, pp. 27-34, (2014).
Solutions Of The Telegraph Equations Using A Fractional Calculus Approach
(Editura Academiei Romane, 2014) Gomez Aguilar, Jose Francisco; Baleanu, Dumitru; 56389
In this paper, the fractional differential equation for the transmission line without losses in terms of the fractional time derivatives of the Caputo type is considered. In order to keep the physical meaning of the governing parameters, new parameters a and a were introduced. These parameters characterize the existence of the fractional components in the system. A relation between these parameters is also reported. Fractional differential equations are examined with both temporal and spatial fractional derivatives. We show a few illustrative examples when the wave periodicity is broken in either temporal or spatial variables. Finally, we present the output of numerical simulations that were performed with both temporal and spatial fractional derivatives.