FRACTIONAL INTEGRAL OPERATORS IN RELATIONSHIP WITH R-FUNCTION


By

Naseer Ahmad Malik¹ , Farooq Ahmad² and D. K. Jain³

¹Department of Mathematics

Government Degree College Sumbal, Sonawari, Bandipora-193501, Jammu and Kashmir, India

²Department of Mathematics

Government College for Women, Nawakadal-190001, Jammu and Kashmir, India

³Department of Mathematics

Madhav Institute of Technology and Science, Gwalior-474005, Madhya Pradesh, India

Email:drnaseerulhassan@gmail.com, sheikhfarooq85@gmail.com, jain_dkj@yahoo.co.in

(Received : June 06,2020; Revised : October 06,2021 ; In final form : October 26,2021)


DOI: https://doi.org/10.58250/Jnanabha.2021.51220

Abstract

The aim of the present paper is to establish certain new results of the R-Function in relationship with the Marichev-Saigo Maeda fractional integral operator. The results are presented in terms of the Wright type function. Some special cases of the main results are also pointed out in the last section of the paper.


2020 Mathematical Sciences Classification: 26A33, 33C05, 33C10, 33C20

Keywords and Phrases: Generalized fractional integral operators, Wright type function, Marichev- Saigo Maeda fractional integral and R-function




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