Certain Properties of Generalized M-Series under Generalized Fractional Integral Operators. (6th July 2021)

• Record Type: Journal Article
• Authors: Suthar, D. L.; Gidaf, Fasil; Andualem, Mitku
• Other Names: Akdemir Ahmet Ocak Academic Editor.
• Is Part Of: Journal of mathematics. Volume 2021(2021)
• Publication Date: 2021-07-06
• Subjects: Mathematics -- Periodicals; Mathematics; Periodicals; 510
• DOI: 10.1155/2021/5527819
• Languages: English
• ISSNs: 2314-4629

Abstract

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.