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Suthar, D. L.; Amsalu, Hafte

Fractional integral and derivative formulas by using Marichev-Saigo-Maeda operators involving the S-function. (English) Zbl 1474.26030

Abstr. Appl. Anal. 2019, Article ID 6487687, 19 p. (2019).
Summary: We establish fractional integral and derivative formulas by using Marichev-Saigo-Maeda operators involving the S-function. The results are expressed in terms of the generalized Gauss hypergeometric functions. Corresponding assertions in terms of Saigo, Erdélyi-Kober, Riemann-Liouville, and Weyl type of fractional integrals and derivatives are presented. Also we develop their composition formula by applying the Beta and Laplace transforms. Further, we point out also their relevance.

Cited in 6 Documents

MSC:

26A33 Fractional derivatives and integrals
33C60 Hypergeometric integrals and functions defined by them (\(E\), \(G\), \(H\) and \(I\) functions)
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\textit{D. L. Suthar} and \textit{H. Amsalu}, Abstr. Appl. Anal. 2019, Article ID 6487687, 19 p. (2019; Zbl 1474.26030)
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