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

D. L. Suthar, Fasil Gidaf, Mitku Andualem and Ahmet Ocak Akdemir

Journal of Mathematics, 2021, vol. 2021, 1-10

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.

Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jjmath:5527819

DOI: 10.1155/2021/5527819

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