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

Author

Listed:
  • Hagos Tadesse
  • Haile Habenom
  • Anita Alaria
  • Biniyam Shimelis
  • Zakia Hammouch

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.

Suggested Citation

  • Hagos Tadesse & Haile Habenom & Anita Alaria & Biniyam Shimelis & Zakia Hammouch, 2021. "Composition Formulae for the k-Fractional Calculus Operator with the S-Function," Journal of Mathematics, Hindawi, vol. 2021, pages 1-12, July.
    • Handle: RePEc:hin:jjmath:7379820
    DOI: 10.1155/2021/7379820
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