A New Trend of Fractional Inequalities for Differentiable Monotone Convexities Through Generalized Operators with Applications

Authors

  • Rana Safdar Ali Rana Department of Mathematics and Statistics, The University of Lahore, Punjab, Pakistan
  • Naila Talib Department of Mathematics and Statistics, The University of Lahore, Punjab, Pakistan
  • Sina Etemad Department of Mathematics, Azarbaijan Shahid Madani University, Tabriz, Iran
  • Jessada Tariboon Faculty of Applied Science, King Mongkut's University of Technology North Bangkok
  • M. I. Hafeez 5Department of Computer Science, The University of Lahore, Sargodha Campus, Sargodha, 14 Punjab, Pakistan

DOI:

https://doi.org/10.29020/nybg.ejpam.v18i3.6306

Keywords:

Monotone convex functions, fractional operators, generalized Mittag-Leffler function, Hermite Hadamard inequality

Abstract

This paper's main goal is to describe the new fractional operators for monotone differentiable function equipped with generalized Mittag-Leffler functions as its kernel, and develop the fractional inequalities for a new family of continuous differentiable convex functions by implementation of newly described fractional operators. Due to the generalized fractional operators to obtain the new version of the Hermite Hadamard type inequalities, and their refinements for continuous differentiable monotone convexities, all the results have significant behavior in the field of analysis, and open new horizon for the modification of inequalities through a new class of convexities. We also spoke about a few unique situations involving the acquired outcome in the framework of the corollaries.

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Published

2025-08-01

Issue

Vol. 18 No. 3: (July 2025)

Section

Mathematical Analysis

License

Copyright (c) 2025 Rana Safdar Ali Rana, Naila Talib, Sina Etemad, Jessada Tariboon, M. I. Hafeez

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How to Cite

A New Trend of Fractional Inequalities for Differentiable Monotone Convexities Through Generalized Operators with Applications. (2025). European Journal of Pure and Applied Mathematics, 18(3), 6306. https://doi.org/10.29020/nybg.ejpam.v18i3.6306