A numerical method to solve higher-order fractional differential equations


Autoria(s): Almeida, Ricardo; Bastos, Nuno R. O.
Data(s)

19/07/2016

01/06/2016

Resumo

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.

Identificador

1660-5446

http://hdl.handle.net/10773/15918

Idioma(s)

eng

Publicador

Springer

Relação

PEst-OE/MAT/UI4106/2014

http://dx.doi.org/10.1007/s00009-015-0550-2

Direitos

restrictedAccess

Palavras-Chave #Fractional calculus #Fractional differential equations #Approximation formulas #Numerical methods
Tipo

article