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

Saud Fahad Aldosary; Mohamed M.A. Metwali

doi:10.3934/math.2024541

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

Saud Fahad Aldosary
, Mohamed M.A. Metwali

Mathematics

Damanhour University

Research output: Contribution to journal › Article › peer-review

6 Scopus citations

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

Original language	English
Pages (from-to)	11039-11050
Number of pages	12
Journal	AIMS Mathematics
Volume	9
Issue number	5
DOIs	https://doi.org/10.3934/math.2024541
State	Published - 2024

Keywords

Hadamard fractional integral operator
measure of non-compactness (MNC)
n-product of quadratic integral equation
Orlicz spaces L

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10.3934/math.2024541

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title = "Solvability of product of n-quadratic Hadamard-type fractional integral equations in Orlicz spaces",

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 LΨ. We utilized the analysis of the measure of non-compactness associated with Darbo{\textquoteright}s fixed-point theorem and fractional calculus to obtain the results.",

keywords = "Hadamard fractional integral operator, measure of non-compactness (MNC), n-product of quadratic integral equation, Orlicz spaces L",

author = "Aldosary, \{Saud Fahad\} and Metwali, \{Mohamed M.A.\}",

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AU - Aldosary, Saud Fahad

AU - Metwali, Mohamed M.A.

PY - 2024

Y1 - 2024

N2 - 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 LΨ. We utilized the analysis of the measure of non-compactness associated with Darbo’s fixed-point theorem and fractional calculus to obtain the results.

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

KW - Hadamard fractional integral operator

KW - measure of non-compactness (MNC)

KW - n-product of quadratic integral equation

KW - Orlicz spaces L

UR - https://www.scopus.com/pages/publications/85192553269

U2 - 10.3934/math.2024541

DO - 10.3934/math.2024541

M3 - Article

AN - SCOPUS:85192553269

SN - 2473-6988

VL - 9

SP - 11039

EP - 11050

JO - AIMS Mathematics

JF - AIMS Mathematics

IS - 5

ER -

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

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Keywords

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