Some notes on properties of the matrix Mittag-Leffler function

Amir Sadeghi and João R. Cardoso

Applied Mathematics and Computation, 2018, vol. 338, issue C, 733-738

Abstract: We have come across with publications where some properties of the matrix exponential were incorrectly extended to the matrix Mittag-Leffler function, and then used as a key tool to solve certain linear matrix fractional differential equations. The main purpose of these notes is to give some clarifications on properties of the matrix Mittag-Leffler function, by explaining in detail why some identities do not hold and by providing a list of (valid) properties of this function. A sufficient condition to identify very special cases of pairs of matrices satisfying the semigroup property is given as well as examples illustrating the results.

Keywords: Matrix Mittag-Leffler function; Matrix exponential; Matrix function (search for similar items in EconPapers)
Date: 2018
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Citations: View citations in EconPapers (4)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:338:y:2018:i:c:p:733-738

DOI: 10.1016/j.amc.2018.06.037

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