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

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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… Click to show full 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.

Keywords: generalized fractional; integral operators; generalized series; series; properties generalized; fractional integral

Journal Title: Journal of Mathematics
Year Published: 2021

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