Behavior of fractional order in the response of an RC circuit by means of singular nucleus derivative
DOI:
https://doi.org/10.29105/ingenierias24.91-19Keywords:
RC electronic circuit, fractional calculus, analytical solution, Caputo derivativeAbstract
This paper proposes the fractional-order differential equation of an RC electronic circuit in terms of the Caputo-type fractional derivative. The fractional-order derivative is defined in the interval 0<q≤1 considering the dimensionality of the parameters R and C. The exact analytical solution is presented using properties of the Laplace transform and Mittag-Leffler function. Besides, the experimental response of the proposed circuit is presented and compared with the analytical solutions. The results show that the voltage depends on the values of the fractional order.
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Consejo Nacional de Ciencia y Tecnología
Grant numbers 350385;66654, A1-S-31628
