On the computation of the multidimensional Mittag-Leffler function

• Type: Article in International Scientific Journal
• Date: 2017

Authors

Ortigueira, MD (Author) Other; António Mendes Lopes (Author) FEUP; José Tenreiro Machado (Author) Other

Journal

Title: Communications in Nonlinear Science and Numerical Simulation

Vol. 53

Pages: 278-287

ISSN: 1007-5704

Publisher: Elsevier

Indexing

ISI Web of Knowledge - 5 Citations

ISI Web of Science

Scopus - 8 Citations

Other information

Authenticus ID: P-00M-TJ4

DOI: 10.1016/j.cnsns.2017.05.007

Abstract (EN): The multidimensional Mittag-Leffier function (M-MLF) is an important tool for studying state-space fractional-order linear systems. However, using the M-MLF entails the need of efficient numerical implementations. In this paper we propose two methods for computing the M-MLF. The first is based on an integral formulation. The second adopts the fast Fourier transform. Numerical simulations compare both methods and show their effectiveness. The new algorithms allow a straightforward use of the M-MLF.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 10