Some New Fractional-Calculus Connections between Mittag–Leffler Functions

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dc.contributor.authorSrivastava, H.M.
dc.contributor.authorFernandez, Arran
dc.contributor.authorBaleanu, Dumitru
dc.date.accessioned2019-07-22T16:19:52Z
dc.date.available2019-07-22T16:19:52Z
dc.date.copyright2019en_US
dc.date.issued2019
dc.description.abstractWe 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.en_US
dc.description.reviewstatusRevieweden_US
dc.description.scholarlevelFacultyen_US
dc.identifier.citationSrivastava, H.M., Fernandez, A. & Baleanu, D. (2019). Some New Fractional- Calculus Connections between Mittag–Leffler Functions. Mathematics, 7(6), 485. https://doi.org/10.3390/math7060485en_US
dc.identifier.urihttp://dx.doi.org/10.3390/math7060485
dc.identifier.urihttp://hdl.handle.net/1828/10983
dc.language.isoenen_US
dc.publisherMathematicsen_US
dc.subjectfractional integralsen_US
dc.subjectfractional derivativesen_US
dc.subjectMittag–Leffler functionsen_US
dc.titleSome New Fractional-Calculus Connections between Mittag–Leffler Functionsen_US
dc.typeArticleen_US

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