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A Study on Generalized Multivariable Mittag-Leffler Function via Generalized Fractional Calculus Operators

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  • D. L. Suthar
  • Mitku Andualem
  • Belete Debalkie

Abstract

We study some properties of generalized multivariable Mittag-Leffler function. Also we establish two theorems, which give the images of this function under the generalized fractional integral operators involving Fox’s H-function as kernel. Relating affirmations in terms of Saigo, Erd é lyi-Kober, Riemann-Liouville, and Weyl type of fractional integrals are also presented. Some known special cases have also been mentioned in the concluding section.

Suggested Citation

  • 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.
    • Handle: RePEc:hin:jjmath:9864737
    DOI: 10.1155/2019/9864737
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