Solvability of product of $ n $-quadratic Hadamard-type fractional integral equations in Orlicz spaces-Reference-Cited by-同舟云学术

Solvability of product of $ n $-quadratic Hadamard-type fractional integral equations in Orlicz spaces

Published:2024 Issue:5 Volume:9 Page:11039-11050
ISSN:2473-6988
Container-title:AIMS Mathematics
language:
Short-container-title:MATH

Author:

Aldosary Saud Fahad¹,Metwali Mohamed M. A.²

Affiliation:

1. Department of Mathematics, College of Science and Humanities in Alkharj, Prince Sattam bin Abdulaziz University, Alkharj 11942, Saudi Arabia

2. Department of Mathematics and Computer Science, Faculty of Science, Damanhour University, Damanhour, Egypt

Abstract

<abstract><p>The current study demonstrated and studied the existence of monotonic solutions, as well as the uniqueness of the solutions for a general and abstract form of a product of $ n $-quadratic fractional integral equations of Hadamard-type in Orlicz spaces $ L_\varphi $. We utilized the analysis of the measure of non-compactness associated with Darbo's fixed-point theorem and fractional calculus to obtain the results.</p></abstract>

Publisher

American Institute of Mathematical Sciences (AIMS)

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