Fractional operators with generalized Mittag-Leffler k-function

In this paper, our main aim is to deal with two integral transforms involving the Gauss hypergeometric functions as their kernels. We prove some composition formulas for such generalized fractional integrals with Mittag-Leffler k -function. The results are established in terms of the generalized Wri...

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Veröffentlicht in:Advances in difference equations 2019-12, Vol.2019 (1), p.1-14, Article 520
Hauptverfasser: Mubeen, Shahid, Safdar Ali, Rana
Format: Artikel
Sprache:eng
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Zusammenfassung:In this paper, our main aim is to deal with two integral transforms involving the Gauss hypergeometric functions as their kernels. We prove some composition formulas for such generalized fractional integrals with Mittag-Leffler k -function. The results are established in terms of the generalized Wright hypergeometric function. The Euler integral k -transformation for Mittag-Leffler k -functions has also been developed.
ISSN:1687-1847
1687-1839
1687-1847
DOI:10.1186/s13662-019-2458-9