A Novel Approach to $\Omega-$proportional Fractional Integrals of a Function with Respect to Another Function

Authors

  • Jamshed Nasir Virtual University of Pakistan, Lahore Campus, 54000, Pakistan
  • Haitham Qawaqneh Al-Zaytoonah University of Jordan, Amman 11733, Jordan
  • Hassen Aydi Institute Sup´erieur d’Informatique et des Techniques de Communication, Universit’e de Sousse, H. Sousse 4000, Tunisia

DOI:

https://doi.org/10.29020/nybg.ejpam.v18i3.6467

Keywords:

Proportional fractional integral, Ω−proportional fractional integral of another function, Synchronous functions, Monotone function

Abstract

This paper explores a key topic in fractional calculus, which is the sophisticated idea of proportional fractional integrals with regard to another function. Our focus is on synchronous, monotonic, and bounded functions. We investigate the mathematical features and theoretical underpinnings of these integrals. The paper sheds fresh information on the behavior and uses of fractional integrals by concentrating on these particular types of functions, underscoring their potential for modeling intricate systems and processes. The findings provide new approaches for future study and useful applications, expanding our grasp of fractional calculus.

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Published

2025-08-01

Issue

Vol. 18 No. 3: (July 2025)

Section

Mathematical Analysis

License

Copyright (c) 2025 Jamshed Nasir, Haitham Qawaqneh, Hassen Aydi

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How to Cite

A Novel Approach to $\Omega-$proportional Fractional Integrals of a Function with Respect to Another Function. (2025). European Journal of Pure and Applied Mathematics, 18(3), 6467. https://doi.org/10.29020/nybg.ejpam.v18i3.6467