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.
"Fractional Integral and Derivative Formulas by Using Marichev-Saigo-Maeda Operators Involving the S-Function." Abstr. Appl. Anal. 2019 1 - 19, 2019. https://doi.org/10.1155/2019/6487687