| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 5011301 | Communications in Nonlinear Science and Numerical Simulation | 2017 | 16 Pages |
Abstract
The multidimensional Mittag-Leffler 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.
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Authors
Manuel D. Ortigueira, António M. Lopes, J. A. Tenreiro Machado,