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Certain Properties of Generalized M-Series under Generalized Fractional Integral Operators

Author

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  • D. L. Suthar
  • Fasil Gidaf
  • Mitku Andualem
  • Ahmet Ocak Akdemir

Abstract

The aim of this study is to introduce new (presumed) generalized fractional integral operators involving I-function as a kernel. In addition, two theorems have been developed under these operators that provide an image formula for this generalized M-series and also to study the different properties of the generalized M-series. The corresponding assertions in terms of Euler and Laplace transform methods are presented. Due to the general nature of the I-function and the generalized M-series, a number of results involving special functions can be achieved only by making appropriate values for the parameters.

Suggested Citation

  • D. L. Suthar & Fasil Gidaf & Mitku Andualem & Ahmet Ocak Akdemir, 2021. "Certain Properties of Generalized M-Series under Generalized Fractional Integral Operators," Journal of Mathematics, Hindawi, vol. 2021, pages 1-10, July.
    • Handle: RePEc:hin:jjmath:5527819
    DOI: 10.1155/2021/5527819
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