Unique positive solution for a nonlinear p-Laplacian Hadamard fractional differential boundary value problem

The purpose of this article is to investigate a class of nonlinear p-Laplacian Hadamard fractional differential equations. By employing two fixed–point theorems of the sum operator, we get the uniqueness of a positive solution for such p-Laplacian equations. In addition, an iterative sequence can be constructed to approximate the unique positive solution. The validity of the results is demonstrated through two illustrative numerical examples in the final of this paper.

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Journal
Electronic Research Archive
Published
2025-01-01
DOI
https://doi.org/10.3934/era.2025209
Primary Topic
Nonlinear Differential Equations Analysis
Type
article
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article

Unique positive solution for a nonlinear p-Laplacian Hadamard fractional differential boundary value problem

Zichun Wang, Kemei Zhang
Electronic Research Archive
Nonlinear Differential Equations Analysis
article

Unique positive solution for a nonlinear p-Laplacian Hadamard fractional differential boundary value problem

Zichun Wang, Kemei Zhang
article en

Abstract

The purpose of this article is to investigate a class of nonlinear p-Laplacian Hadamard fractional differential equations. By employing two fixed–point theorems of the sum operator, we get the uniqueness of a positive solution for such p-Laplacian equations. In addition, an iterative sequence can be constructed to approximate the unique positive solution. The validity of the results is demonstrated through two illustrative numerical examples in the final of this paper.

Electronic Research ArchiveVol. 33(8)
Qufu Normal University (CN)
Openalex Percentile: Top 70%
Nonlinear Differential Equations Analysis
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