La derivada conformable y sus aplicaciones en ingeniería

Autores/as

  • Jesús Gabino Puente-Córdova Universidad Autónoma de Nuevo León image/svg+xml

DOI:

https://doi.org/10.29105/ingenierias23.88-3

Palabras clave:

Ecuación diferencial, cálculo fraccional, modelado, derivada conformable

Resumen

En este trabajo se describen algunas aplicaciones de la derivada conformable en la solución de ecuaciones diferenciales de orden fraccionario. Las derivadas de orden no entero son presentadas en función del tiempo para resolver el modelo de Maxwell, el circuito eléctrico RC en serie y la ley de enfriamiento de Newton. Los resultados obtenidos muestran la variación del parámetro α del operador fraccional conformable para modelar el comportamiento de los fenómenos propuestos. Se obtiene que los parámetros esfuerzo, corriente eléctrica y temperatura en función del tiempo, presentan un decaimiento más pronunciado a medida que α disminuye. La derivada conformable es una herramienta matemática que permite resolver ecuaciones diferenciales de orden fraccionario en una forma más simple.

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Publicado

2020-07-12

Cómo citar

Puente-Córdova, J. G. (2020). La derivada conformable y sus aplicaciones en ingeniería. Ingenierias, 23(88), 20–31. https://doi.org/10.29105/ingenierias23.88-3