Some New Fractional-Calculus Connections between Mittag–Leffler Functions

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ID: 33198
2019
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Abstract
We consider the well-known Mittag−Leffler functions of one, two and three parameters, and establish some new connections between them using fractional calculus. In particular, we express the three-parameter Mittag−Leffler function as a fractional derivative of the two-parameter Mittag−Leffler function, which is in turn a fractional integral of the one-parameter Mittag−Leffler function. Hence, we derive an integral expression for the three-parameter one in terms of the one-parameter one. We discuss the importance and applications of all three Mittag−Leffler functions, with a view to potential applications of our results in making certain types of experimental data much easier to analyse.
Reference Key
srivastava2019somemathematics Use this key to autocite in the manuscript while using SciMatic Manuscript Manager or Thesis Manager
Authors Srivastava, Hari M.;Fernandez, Arran;Baleanu, Dumitru;
Journal Mathematics
Year 2019
DOI
DOI not found
URL
https://www.mdpi.com/2227-7390/7/6/485
Keywords Keywords not found

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