Fractional Integral and Derivative Formulas by Using Marichev-Saigo-Maeda Operators Involving the S-Function
Hafte Amsalu () and
D. L. Suthar ()
Abstract and Applied Analysis, 2019, vol. 2019, 1-19
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.
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:6487687
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