AccScience Publishing / IJOCTA / Volume 13 / Issue 1 / DOI: 10.11121/ijocta.2023.1258
RESEARCH ARTICLE

Certain saigo type fractional integral inequalities and their q-analogues

Shilpi Jain1 Rahul Goyal2 Praveen Agarwal2,3,4* Shaher Momani3,5
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1 Department of Mathematics, Poornima College of Engineering, Jaipur 302022, India
2 Department of Mathematics, Anand International College of Engineering, Jaipur 303012, India
3 Nonlinear Dynamics Research Center (NDRC), Ajman University, Ajman, United Arab Emirates
4 Peoples’ Friendship University of Russia (RUDN University), 6 Miklukho-Maklaya St, 117198 Moscow, Russian Federation
5 Department of Mathematics, Faculty of Science, University of Jordan, Amman 11942, Jordan
Submitted: 23 April 2022 | Accepted: 18 October 2022 | Published: 23 January 2023
© 2023 by the Author(s). This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution -Noncommercial 4.0 International License (CC-by the license) ( https://creativecommons.org/licenses/by-nc/4.0/ )
Abstract

The main purpose of the present article is to introduce certain new Saigo fractional integral inequalities and their q-extensions. We also studied some special cases of these inequalities involving Riemann-Liouville and Erdelyi-Kober fractional integral operators.

Keywords
Saigo fractional integral operator
Riemann-Liouville fractional integral
Erdelyi-Kober fractional integral
Conflict of interest
The authors declare they have no competing interests.
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