Existence, uniqueness, continuous dependence on the data for the product of n-fractional integral equations in Orlicz spaces

Abdulaziz M. Alotaibi; Mohamed M.A. Metwali; Hala H. Taha; Ravi P. Agarwal

doi:10.3934/math.2025386

Existence, uniqueness, continuous dependence on the data for the product of n-fractional integral equations in Orlicz spaces

Abdulaziz M. Alotaibi
, Mohamed M.A. Metwali
, Hala H. Taha
, Ravi P. Agarwal

Mathematics

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

2 Scopus citations

Abstract

In this manuscript, the measure of noncompactness, the fixed-point theorem, as well as fractional calculus, are used to carry out the analysis of the solvability of a product of n-quadratic Erdélyi-Kober (EK) fractional-type integral equations in Orlicz spaces L_φ. Several qualitative properties of the solution for the studied problem are established, such as the existence, monotonicity, uniqueness, and continuous dependence on the data. We conclude with some examples that illustrate our hypothesis.

Original language	English
Pages (from-to)	8382-8397
Number of pages	16
Journal	AIMS Mathematics
Volume	10
Issue number	4
DOIs	https://doi.org/10.3934/math.2025386
State	Published - 2025

Keywords

Erdélyi-Kober (EK) fractional operator
fixed-point theorem (FPT)
measure of noncompactness
Orlicz spaces

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10.3934/math.2025386

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title = "Existence, uniqueness, continuous dependence on the data for the product of n-fractional integral equations in Orlicz spaces",

abstract = "In this manuscript, the measure of noncompactness, the fixed-point theorem, as well as fractional calculus, are used to carry out the analysis of the solvability of a product of n-quadratic Erd{\'e}lyi-Kober (EK) fractional-type integral equations in Orlicz spaces Lφ. Several qualitative properties of the solution for the studied problem are established, such as the existence, monotonicity, uniqueness, and continuous dependence on the data. We conclude with some examples that illustrate our hypothesis.",

keywords = "Erd{\'e}lyi-Kober (EK) fractional operator, fixed-point theorem (FPT), measure of noncompactness, Orlicz spaces",

author = "Alotaibi, \{Abdulaziz M.\} and Metwali, \{Mohamed M.A.\} and Taha, \{Hala H.\} and Agarwal, \{Ravi P.\}",

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doi = "10.3934/math.2025386",

language = "English",

volume = "10",

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T1 - Existence, uniqueness, continuous dependence on the data for the product of n-fractional integral equations in Orlicz spaces

AU - Alotaibi, Abdulaziz M.

AU - Metwali, Mohamed M.A.

AU - Taha, Hala H.

AU - Agarwal, Ravi P.

PY - 2025

Y1 - 2025

N2 - In this manuscript, the measure of noncompactness, the fixed-point theorem, as well as fractional calculus, are used to carry out the analysis of the solvability of a product of n-quadratic Erdélyi-Kober (EK) fractional-type integral equations in Orlicz spaces Lφ. Several qualitative properties of the solution for the studied problem are established, such as the existence, monotonicity, uniqueness, and continuous dependence on the data. We conclude with some examples that illustrate our hypothesis.

AB - In this manuscript, the measure of noncompactness, the fixed-point theorem, as well as fractional calculus, are used to carry out the analysis of the solvability of a product of n-quadratic Erdélyi-Kober (EK) fractional-type integral equations in Orlicz spaces Lφ. Several qualitative properties of the solution for the studied problem are established, such as the existence, monotonicity, uniqueness, and continuous dependence on the data. We conclude with some examples that illustrate our hypothesis.

KW - Erdélyi-Kober (EK) fractional operator

KW - fixed-point theorem (FPT)

KW - measure of noncompactness

KW - Orlicz spaces

UR - https://www.scopus.com/pages/publications/105003565871

U2 - 10.3934/math.2025386

DO - 10.3934/math.2025386

M3 - Article

AN - SCOPUS:105003565871

SN - 2473-6988

VL - 10

SP - 8382

EP - 8397

JO - AIMS Mathematics

JF - AIMS Mathematics

IS - 4

ER -

Existence, uniqueness, continuous dependence on the data for the product of n-fractional integral equations in Orlicz spaces

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Keywords

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