@inproceedings{c2ed49409fc4480fbc3e7c63012dba73,
title = "Short-term recursions for fractional differential equations",
abstract = "This paper deals with the numerical solution of Fractional Differential Equations by means of m-step recursions. For the construction of such formulas, we study a technique based on a rational approximation of the generating functions of Fractional Backward Differentiation Formulas (FBDFs). The so-defined methods simulate very well the properties of the underlying FBDFs with important computational advantages. This fact becomes particularly evident especially in the case when they are used for solving problems arising from the semi-discretization of fractional partial differential equations.",
keywords = "Fractional BDF, Fractional Differential Equations, Matrix functions",
author = "Lidia Aceto and Cecilia Magherini and Paolo Novati",
note = "Publisher Copyright: {\textcopyright} 2015 AIP Publishing LLC.; International Conference on Numerical Analysis and Applied Mathematics 2014, ICNAAM 2014 ; Conference date: 22-09-2014 Through 28-09-2014",
year = "2015",
month = mar,
day = "10",
doi = "10.1063/1.4912305",
language = "English",
series = "AIP Conference Proceedings",
publisher = "American Institute of Physics Inc.",
editor = "Simos, \{Theodore E.\} and Simos, \{Theodore E.\} and Simos, \{Theodore E.\} and Charalambos Tsitouras",
booktitle = "Proceedings of the International Conference on Numerical Analysis and Applied Mathematics 2014, ICNAAM 2014",
}