The Mittag-Leffler function plays a central role in fractional calculus; however its numerical evaluation still remains an expensive and challenging task. In this work we discuss the evaluation of this function for pure imaginary arguments by means of a numerical method performing the inversion of its Laplace transform on a suitably selected integral contour. By means of some numerical experiments we show that the proposed algorithm behaves in an efficient and fast way.
Fast evaluation of the Mittag-Leffler function on the imaginary axis / Popolizio, Marina; Garrappa, Roberto. - ELETTRONICO. - (2014). (Intervento presentato al convegno International Conference on Fractional Differentiation and Its Applications, ICFDA 2014 tenutosi a Catania, Italy nel June 23-25, 2014) [10.1109/ICFDA.2014.6967420].
Fast evaluation of the Mittag-Leffler function on the imaginary axis
Marina Popolizio;
2014-01-01
Abstract
The Mittag-Leffler function plays a central role in fractional calculus; however its numerical evaluation still remains an expensive and challenging task. In this work we discuss the evaluation of this function for pure imaginary arguments by means of a numerical method performing the inversion of its Laplace transform on a suitably selected integral contour. By means of some numerical experiments we show that the proposed algorithm behaves in an efficient and fast way.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
