Equações diferenciais fracionárias e as funções de Mittag/Leffler

TL;DRAbstract

We present the operators of fractional integration and differentiation, which can be used to describe an anomalous diffusion process by means of a fractional differential equation.As an application we discuss a fractional differential equation associated with the slowing-down of neutrons using Laplace and Fourier transforms.With the help of a convenient computational implementation we obtain graphs of the solutions of this equation.Some properties of the operators of fractional integration and differentiation are mentioned and used to demonstrate the fundamental theorem of fractional calculus.The classical Mittag-Leffler function with one parameter and the Mittag-Leffler function with two parameters play an important role in the study of fractional differential equations.The so-called Mittag-Leffler function with three parameters, which generalizes the previous two functions, naturally arises in the study of the fractional differential equation associated with the telegraph problem.By

Chat with Paper

AI Agents for this Paper