Composition Formula for Saigo Fractional Integral Operator Associated with V-Function

Sunil Chandak, Anita Alaria, Biniyam Shimelis and Serkan Araci

Journal of Mathematics, 2022, vol. 2022, 1-11

Abstract: In this study, we form integral formulas for Saigo’s hypergeometric integral operator involving V-function. Corresponding assertions for the classical Riemann–Liouville (R-L) and Erdélyi–Kober (E-K) fractional integral operator are extrapolated. Also, by putting in the transformations of Beta and Laplace, we can establish their composition formulas. By selecting the appropriate parameter values, the V-function may be reduced to a variety of functions, including the exponential function, Mittag–Leffler, Lommel, Struve, Wright’s generalized Bessel function, and Bessel and generalized hypergeometric function.

Date: 2022
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jjmath:2174708

DOI: 10.1155/2022/2174708

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