Solvability of Quadratic Hadamard-Type Fractional Integral Equations in Orlicz Spaces

Metwali, Mohamed M. A.

doi:10.1216/rmj.2023.53.531

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Cited by 3 publications

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“…In [25], the author provided some fundamental properties of the Hadamard fractional operator in Orlicz spaces and employed them in solving the following equation:…”

Section: Introductionmentioning

confidence: 99%

On Erdélyi–Kober Fractional Operator and Quadratic Integral Equations in Orlicz Spaces

Metwali,

Alsallami

2023

Mathematics

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We provide and prove some new fundamental properties of the Erdélyi–Kober (EK) fractional operator, including monotonicity, boundedness, acting, and continuity in both Lebesgue spaces (Lp) and Orlicz spaces (Lφ). We employ these properties with the concept of the measure of noncompactness (MNC) associated with the fixed-point hypothesis (FPT) in solving a quadratic integral equation of fractional order in Lp,p≥1 and Lφ. Finally, we provide a few examples to support our findings. Our suppositions can be successfully applied to various fractional problems.

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“…In [25], the author provided some fundamental properties of the Hadamard fractional operator in Orlicz spaces and employed them in solving the following equation:…”

Section: Introductionmentioning

confidence: 99%

On Erdélyi–Kober Fractional Operator and Quadratic Integral Equations in Orlicz Spaces

Metwali,

Alsallami

2023

Mathematics

Self Cite

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On $$L_\phi $$-Solutions for n-Product of Fractional Integral Operators

Metwali

2024

Recent Developments in Fixed-Point Theory

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

Aldosary,

Metwali

2024

MATH

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<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>

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Solvability of Quadratic Hadamard-Type Fractional Integral Equations in Orlicz Spaces

Cited by 3 publications

References 21 publications

On Erdélyi–Kober Fractional Operator and Quadratic Integral Equations in Orlicz Spaces

On Erdélyi–Kober Fractional Operator and Quadratic Integral Equations in Orlicz Spaces

On $$L_\phi $$-Solutions for n-Product of Fractional Integral Operators

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

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