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Research Article | Open Access

Multiple positive solutions for system of mixed Hadamard fractional boundary value problems with ( p 1 , p 2 )-Laplacian operator

Sabbavarapu Nageswara Rao( ), Abdullah Ali H. Ahmadini
Department of Mathematics, College of Science, Jazan University, Jazan, Saudi Arabia
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Abstract

In this paper, we investigate the existence of positive solutions of a system of Riemann-Liouville Hadamard differential equations with p-Laplacian operators under various combinations of superlinearity and sublinearity. We apply the Guo-Krasnosel'skii fixed point theorem for the proof of the existence results.

Keywords

Hadamard fractional systempositive solutionsboundary value problemsp-Laplacianfixed point theorem
CLC number: 34A08, 34B15, 34B18, 34B27

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AIMS Mathematics
Volume 8 Issue 6,
June 2023
Pages 14767-14791
DOI: 10.3934/math.2023755

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Cite this article:
Rao SN, Ahmadini AAH. Multiple positive solutions for system of mixed Hadamard fractional boundary value problems with ( p 1 , p 2 )-Laplacian operator. AIMS Mathematics, 2023, 8(6): 14767-14791. https://doi.org/10.3934/math.2023755

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Received: 03 March 2023
Revised: 11 April 2023
Accepted: 12 April 2023
Published: 15 June 2023
©2023 the Author(s), licensee AIMS Press.

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