TY - JOUR
T1 - On the computation of the multidimensional Mittag-Leffler function
AU - Ortigueira, Manuel D.
AU - Lopes, António Mendes
AU - Machado, J. A.Tenreiro
PY - 2017/12/1
Y1 - 2017/12/1
N2 - 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.
AB - 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.
KW - Fast Fourier transform
KW - Integral formulation
KW - Multidimensional Mittag-Leffler function
KW - Numerical computation
UR - http://www.scopus.com/inward/record.url?scp=85019402790&partnerID=8YFLogxK
U2 - 10.1016/j.cnsns.2017.05.007
DO - 10.1016/j.cnsns.2017.05.007
M3 - Article
AN - SCOPUS:85019402790
SN - 1007-5704
VL - 53
SP - 278
EP - 287
JO - Communications In Nonlinear Science And Numerical Simulation
JF - Communications In Nonlinear Science And Numerical Simulation
ER -