A Discretization of the Hadamard fractional derivative

We present a new discretization for the Hadamard fractional derivative, that simplifies the computations. We then apply the method to solve a fractional differential equation and a fractional variational problem with dependence on the Hadamard fractional derivative.

Bibliographic Details
Main Author: Almeida, Ricardo (author)
Other Authors: Bastos, Nuno (author)
Format: article
Language:eng
Published: 2016
Subjects:
Fractional calculus
Discretization methods
Online Access:http://hdl.handle.net/10773/15701
Country:Portugal
Oai:oai:ria.ua.pt:10773/15701
Description
Summary:We present a new discretization for the Hadamard fractional derivative, that simplifies the computations. We then apply the method to solve a fractional differential equation and a fractional variational problem with dependence on the Hadamard fractional derivative.

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