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Research Article | Open Access

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

Saud Fahad Aldosary1( ), Mohamed M. A. Metwali2
Department of Mathematics, College of Science and Humanities in Alkharj, Prince Sattam bin Abdulaziz University, Alkharj 11942, Saudi Arabia
Department of Mathematics and Computer Science, Faculty of Science, Damanhour University, Damanhour, Egypt
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Abstract

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 φ . We utilized the analysis of the measure of non-compactness associated with Darbo's fixed-point theorem and fractional calculus to obtain the results.

Keywords

Hadamard fractional integral operatorn-product of quadratic integral equationmeasure of non-compactness (MNC)Orlicz spaces Lφ
CLC number: 45G10, 46E30, 47H30, 47N20

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AIMS Mathematics
Volume 9 Issue 5,
May 2024
Pages 11039-11050
DOI: 10.3934/math.2024541

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Cite this article:
Aldosary SF, Metwali MMA. Solvability of product of n-quadratic Hadamard-type fractional integral equations in Orlicz spaces. AIMS Mathematics, 2024, 9(5): 11039-11050. https://doi.org/10.3934/math.2024541

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Received: 19 January 2024
Revised: 07 March 2024
Accepted: 12 March 2024
Published: 15 May 2024
©2024 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)