THE GRÜSS TYPE FRACTIONAL INTEGRAL INEQUALITIES OF MULTIVARIATE MITTAG-LEFFLER FUNCTION
By
Meena Kumari Gurjar1 , Preeti Chhattry2 , Anil Kumar Vishnoi3 and Rajneesh Kumar4
1,3Department of Mathematics and Statistics, J.N.V. University, Jodhpur, Rajasthan, India-342001.
2Govt. Girls High School Pathariya, Mungeli, Chattisgarh, India-495113.
3Department of Mathematics, Kurukshetra University, Kurukshetra, India-136119.
Email: meenanetj@gmail.com, preetichhattry@gmail.com, anilvishnoirahar@gmail.com, rajneesh kuk@rediffmail.com
(Received: February 04, 2025; In format: February 12, 2025; Revised: September 21, 2025; Accepted: October 01, 2025)
DOI: https://doi.org/10.58250/jnanabha.2025.55208
Abstract
Integral inequalities are becoming more popular because they are useful in many areas. The researchers have studied integral inequalities using various methods. In this paper, we want to create new integral inequalities such as Gr¨uss type inequalities, and other similar ones, for the fractional integral operator that uses the multivariate Mittag-Leffler function. We look at how the Riemann-Liouville integral, the Prabhakar integral, and the generalized fractional integral are related to make specific conclusions. We support our findings by giving additional details.
2020 Mathematical Sciences Classification: 26A33, 26D10.
Keywords and Phrases: Mittag-Leffler function, inequalities, extended fractional integrals.