A Novel Fractional Integral of a Function via Polynomial $n$-Fractional $s$-Like Preinvexity

Authors

  • Jamshed Nasir Department of Mathematics, Virtual University of Pakistan, Lahore Campus, 54000, Pakistan
  • Hassen Aydi Institut Sup´erieur d’Informatique et des Techniques de Communication,Universit´e de Sousse, H. Sousse 4000, Tunisia
  • Saber Mansour Department of Mathematics, Umm Al-Qura University, Faculty of Applied sciences, P.O. Box 14035, Holly Makkah 21955, Saudi Arabia

DOI:

https://doi.org/10.29020/nybg.ejpam.v18i3.6159

Keywords:

Polynomial $n-$fractional $s-$like preinvexity, K−fractional operator, Preinvex function

Abstract

In the following numerical novel, we develop a new fractional integral operator that incorporates polynomials \(n\)-fractional with \(s\)-like preinvexity, thus expanding the notion of fractional calculus. This new operator provides a more comprehensive framework for examining the behavior of functions exhibiting generalized preinvexity properties which are crucial in many optimization problems. We investigate the existence, uniqueness, and stability of this fractional integral as well as its basic characteristics. In addition, we provide a number of inequalities that show how useful this operator is in the context of applied sciences and mathematical analysis. Our results not only advance the theory of fractional calculus but also pave the way for future investigations into integral inequalities and fractional optimization.

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Published

2025-08-01

Issue

Vol. 18 No. 3: (July 2025)

Section

Mathematical Analysis

License

Copyright (c) 2025 Jamshed Nasir, Hassen Aydi, Saber Mansour

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How to Cite

A Novel Fractional Integral of a Function via Polynomial $n$-Fractional $s$-Like Preinvexity. (2025). European Journal of Pure and Applied Mathematics, 18(3), 6159. https://doi.org/10.29020/nybg.ejpam.v18i3.6159