Affiliation:
1. Department of Mathematics, Wollo University, P.O. Box: 1145, Dessie, Ethiopia
Abstract
The aim of this study is to introduce new (presumed) generalized fractional integral operators involving
-function as a kernel. In addition, two theorems have been developed under these operators that provide an image formula for this generalized
-series and also to study the different properties of the generalized
-series. The corresponding assertions in terms of Euler and Laplace transform methods are presented. Due to the general nature of the
-function and the generalized
-series, a number of results involving special functions can be achieved only by making appropriate values for the parameters.
Reference20 articles.
1. A note on a generalized M-series as a special function of fractional calculus;M. Sharma;Fractional Calculus and Applied Analysis,2009
2. The $G$ and $H$ functions as symmetrical Fourier kernels
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