Some composition formulae for the M-S-M fractional integral operator with the multi-index Mittag-Leffler functions. (English) Zbl 1469.26010
Tosun, Murat (ed.) et al., 6th international Eurasian conference on mathematical sciences and applications, IECMSA-2017, Budapest, Hungary, August 15–18 August, 2017. Melville, NY: American Institute of Physics (AIP). AIP Conf. Proc. 1926, Article 020020, 9 p. (2018).
Summary: Authors presented some composition formulae for the Marichev-Saigo-Maeda (M-S-M) fractional integral operator with the multi-index Mittag-Leffler functions. Our results are generalizes the results obtained by P. Agarwal and J. Choi, J. Korean Math. Soc. 53, No. 5, 1183–1210 (2016; Zbl 1347.26014). Here, we record some particular cases of our main result. Finally, we obtain Laplace transforms of the composition formulae.
For the entire collection see [Zbl 1437.00037].
For the entire collection see [Zbl 1437.00037].
MSC:
| 26A33 | Fractional derivatives and integrals |
| 33C60 | Hypergeometric integrals and functions defined by them (\(E\), \(G\), \(H\) and \(I\) functions) |
| 45P05 | Integral operators |
Citations:
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