Comportamiento de orden fraccionario en la respuesta de un circuito RC mediante derivada de núcleo singular
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https://doi.org/10.29105/ingenierias24.91-19Palabras clave:
Circuito electrónico RC, cálculo fraccionario, solución analítica, derivada tipo CaputoResumen
En este artículo, se presenta la ecuación diferencial fraccionaria de un circuito electrónico RC en términos de la derivada fraccionaria de tipo Caputo y la solución analítica exacta usando propiedades de la transformada de Laplace y la función Mittag-Leffler. El orden de la derivada fraccionaria es definido en el intervalo 0<q≤1, preservando la dimensionalidad de los parámetros R y C. Además, se muestra la respuesta experimental del circuito propuesto y se compara con las soluciones analíticas. Los resultados muestran que el voltaje del capacitor depende directamente de los valores del orden fraccionario.
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Consejo Nacional de Ciencia y Tecnología
Números de la subvención 350385;66654, A1-S-31628
