On Qualitative Properties of \(L_\Theta\)-Solutions for Coupled Systems of Hadamard-Type Fractional Integral Equations in Banach Spaces

Authors

DOI:

https://doi.org/10.29020/nybg.ejpam.v18i2.6157

Keywords:

Fixed-point theorem , Orlicz spaces $L_\Theta$, coupled system of integral equations

Abstract

In this manuscript, the measure of noncompactness ($\mathbf{\mathcal{MNC}}$), Darbo and Banach contraction fixed point theorems ($\mathbf{\mathcal{FPT}}$), as well as fractional calculus, are used to carry out the analysis of the solvability of a general but abstract coupled system of quadratic Hadamard-fractional integral equations in Orlicz spaces $L_\Theta$. Several qualitative properties of the solution to the studied coupled system are established, such as the existence, monotonicity, and uniqueness, in addition to continuous dependence on the data. We conclude with some examples that illustrate our hypothesis.

Author Biographies

  • Mohamed Metwali, Prince Sattam Bin Abdulaziz University

    Department of Mathematics, College of Science and Humanities in AlKharj

  • Shami A. M. Alsallami, Umm Al-Qura University

     Mathematics Department, College of Sciences, Umm Al-Qura University, Makkah 24381, Saudi Arabia

Downloads

Published

2025-05-01

Issue

Vol. 18 No. 2: (April 2025)

Section

Nonlinear Analysis

License

Copyright (c) 2025 Mohamed Metwali, Shami A. M. Alsallami

Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.

Upon acceptance of an article by the European Journal of Pure and Applied Mathematics, the author(s) retain the copyright to the article. However, by submitting your work, you agree that the article will be published under the Creative Commons Attribution-NonCommercial 4.0 International License (CC BY-NC 4.0). This license allows others to copy, distribute, and adapt your work, provided proper attribution is given to the original author(s) and source. However, the work cannot be used for commercial purposes.

By agreeing to this statement, you acknowledge that:

  • You retain full copyright over your work.
  • The European Journal of Pure and Applied Mathematics will publish your work under the Creative Commons Attribution-NonCommercial 4.0 International License (CC BY-NC 4.0).
  • This license allows others to use and share your work for non-commercial purposes, provided they give appropriate credit to the original author(s) and source.

How to Cite

On Qualitative Properties of \(L_\Theta\)-Solutions for Coupled Systems of Hadamard-Type Fractional Integral Equations in Banach Spaces. (2025). European Journal of Pure and Applied Mathematics, 18(2), 6157. https://doi.org/10.29020/nybg.ejpam.v18i2.6157