$A discretization of the Hadamard fractional derivative$

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.

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Bibliographische Detailangaben
Hauptverfasser:	Almeida, Ricardo, Bastos, Nuno R. O
Format:	Artikel
Sprache:	eng
Schlagworte:	Mathematics - Numerical Analysis
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Beschreibung
Zusammenfassung:	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.
DOI:	10.48550/arxiv.1604.04274