Fractional calculus for differential equations
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Keywords

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

How to Cite

Di Teodoro, A. (2021). Fractional calculus for differential equations. ACI Avances En Ciencias E Ingenierías, 12(2), 24. https://doi.org/10.18272/aci.v12i2.1946

Abstract

In the present work two methodologies to find solutions to fractional partial differential equations are presented. The first methodology consist in the use of the Laplace transform through the employment of a product type solution.  On the other hand, the second methodology allow us to integrate the partial fractional differential equation. Finally, a discussion about the freedoms and restrictions of two methods is made.

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Copyright (c) 2021 Antono Di Teodoro