Many situations, as for example within the context of Fractional Calculus theory, require computing the Mittag-Leffler (ML) function with matrix arguments. In this paper, we collect theoretical properties of the matrix ML function. Moreover, we describe the available numerical methods aimed at this purpose by stressing advantages and weaknesses.
On the matrix Mittag-Leffler function: Theoretical properties and numerical computation / Popolizio, Marina. - In: MATHEMATICS. - ISSN 2227-7390. - ELETTRONICO. - 7:12(2019), p. 1140.1140. [10.3390/MATH7121140]
On the matrix Mittag-Leffler function: Theoretical properties and numerical computation
Popolizio, Marina
2019
Abstract
Many situations, as for example within the context of Fractional Calculus theory, require computing the Mittag-Leffler (ML) function with matrix arguments. In this paper, we collect theoretical properties of the matrix ML function. Moreover, we describe the available numerical methods aimed at this purpose by stressing advantages and weaknesses.File in questo prodotto:
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