April 2023 SOLVABILITY OF QUADRATIC HADAMARD-TYPE FRACTIONAL INTEGRAL EQUATIONS IN ORLICZ SPACES
Mohamed M. A. Metwali
Rocky Mountain J. Math. 53(2): 531-540 (April 2023). DOI: 10.1216/rmj.2023.53.531

Abstract

We demonstrate some properties of Hadamard fractional operators such as boundedness, monotonicity, continuity, and acting conditions in Orlicz spaces Lφ. We apply these properties with a proper measure of noncompactness (MNC) to inspect the existence of monotonic solutions of some general, but abstract, form of quadratic Hadamard-type fractional integral equations in Lφ. We also discuss the uniqueness of the solution.

Citation

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Mohamed M. A. Metwali. "SOLVABILITY OF QUADRATIC HADAMARD-TYPE FRACTIONAL INTEGRAL EQUATIONS IN ORLICZ SPACES." Rocky Mountain J. Math. 53 (2) 531 - 540, April 2023. https://doi.org/10.1216/rmj.2023.53.531

Information

Received: 10 November 2021; Revised: 26 May 2022; Accepted: 26 May 2022; Published: April 2023
First available in Project Euclid: 20 June 2023

MathSciNet: MR4604771
zbMATH: 07725152
Digital Object Identifier: 10.1216/rmj.2023.53.531

Subjects:
Primary: 45G10 , 47H30
Secondary: 46E30 , 47N20

Keywords: Hadamard fractional integral operator , measure of compactness (MNC) , Orlicz spaces Lφ , Quadratic integral equation

Rights: Copyright © 2023 Rocky Mountain Mathematics Consortium

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Vol.53 • No. 2 • April 2023
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