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Research Article | Open Access

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

Zichun Wang, Kemei Zhang( )
School of Mathematical Sciences, Qufu Normal University, Qufu 273165, China
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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.

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Electronic Research Archive
Pages 4658-4678

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Cite this article:
Wang Z, Zhang K. Unique positive solution for a nonlinear p-Laplacian Hadamard fractional differential boundary value problem. Electronic Research Archive, 2025, 33(8): 4658-4678. https://doi.org/10.3934/era.2025209

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Received: 06 June 2025
Revised: 30 July 2025
Accepted: 05 August 2025
Published: 12 August 2025
©2025 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0)