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Title: A numerical method to solve higher-order fractional differential equations
Author: Almeida, Ricardo
Bastos, Nuno R. O.
Keywords: Fractional calculus
Fractional differential equations
Approximation formulas
Numerical methods
Issue Date: Jun-2016
Publisher: Springer
Abstract: In this paper, we present a new numerical method to solve fractional differential equations. Given a fractional derivative of arbitrary real order, we present an approximation formula for the fractional operator that involves integer-order derivatives only. With this, we can rewrite FDEs in terms of a classical one and then apply any known technique. With some examples, we show the accuracy of the method.
Peer review: yes
DOI: 10.1007/s00009-015-0550-2
ISSN: 1660-5446
Appears in Collections:CIDMA - Artigos
SCG - Artigos

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