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

Author

Listed:
  • Sunil Chandak
  • Anita Alaria
  • Biniyam Shimelis

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.

Suggested Citation

  • Sunil Chandak & Anita Alaria & Biniyam Shimelis, 2022. "Composition Formula for Saigo Fractional Integral Operator Associated with V‐Function," Journal of Mathematics, John Wiley & Sons, vol. 2022(1).
    • Handle: RePEc:wly:jjmath:v:2022:y:2022:i:1:n:2174708
    DOI: 10.1155/2022/2174708
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    References listed on IDEAS

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    1. Hafte Amsalu & D. L. Suthar, 2018. "Generalized Fractional Integral Operators Involving Mittag‐Leffler Function," Abstract and Applied Analysis, John Wiley & Sons, vol. 2018(1).
    2. D. L. Suthar & Mitku Andualem & Belete Debalkie, 2019. "A Study on Generalized Multivariable Mittag-Leffler Function via Generalized Fractional Calculus Operators," Journal of Mathematics, Hindawi, vol. 2019, pages 1-7, August.
    3. Hafte Amsalu & D. L. Suthar, 2018. "Generalized Fractional Integral Operators Involving Mittag-Leffler Function," Abstract and Applied Analysis, Hindawi, vol. 2018, pages 1-8, June.
    4. B. B. Jaimini & Manju Sharma & D. L. Suthar & S. D. Purohit & Zakia Hammouch, 2021. "On Multi-Index Mittag–Leffler Function of Several Variables and Fractional Differential Equations," Journal of Mathematics, Hindawi, vol. 2021, pages 1-8, October.
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