Cálculo fraccionario para ecuaciones diferenciales

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Palabras clave

Fractional differential equation, Riemann-Liouville fractional derivative, Riemann-Liouville fractional integral, Laplace Transform, Integral Equation, Summable Derivative, Volterra Integral equation

Cómo citar

Di Teodoro, A. (2021). Cálculo fraccionario para ecuaciones diferenciales. ACI Avances En Ciencias E Ingenierías, 12(2), 24. https://doi.org/10.18272/aci.v12i2.1946

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Creative Commons License

Esta obra está bajo una licencia internacional Creative Commons Atribución-NoComercial 4.0.

Derechos de autor 2021 Antono Di Teodoro

Resumen

En el presente trabajo se estudian dos metodologías distintas para la resolución de ecuaciones diferenciales parciales fraccionarias. La primera metodología consiste en usar la transformada de Laplace mediante la proposición de una solución de tipo producto de funciones.  Por otro lado, la segunda metodología  nos permite integrar directamente sobre la ecuación diferencial parcial fraccionaria. Para finalizar el trabajo, se realiza una discución sobre las limitaciones y libertades de ambos métodos

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