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 |
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Hauptverfasser: | , |
Format: | Artikel |
Sprache: | eng |
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Online-Zugang: | Volltext |
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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. |
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ISSN: | 1687-1847 1687-1839 1687-1847 |
DOI: | 10.1186/s13662-019-2458-9 |