Composition Formulae for the k-Fractional Calculus Operator with the S-Function

Hagos Tadesse, Haile Habenom, Anita Alaria, Biniyam Shimelis and Zakia Hammouch

Journal of Mathematics, 2021, vol. 2021, 1-12

Abstract: In this study, the S-function is applied to Saigo’s k-fractional order integral and derivative operators involving the k-hypergeometric function in the kernel; outcomes are described in terms of the k-Wright function, which is used to represent image formulas of integral transformations such as the beta transform. Several special cases, such as the fractional calculus operator and the S-function, are also listed.

Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jjmath:7379820

DOI: 10.1155/2021/7379820

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