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Research Article | Open Access

Coupled systems of nonlinear sequential proportional Hilfer-type fractional differential equations with multi-point boundary conditions

Ayub Samadi1, Sotiris K. Ntouyas2, Jessada Tariboon3( )
Department of Mathematics, Miyaneh Branch, Islamic Azad University, Miyaneh 5315836511, Iran
Department of Mathematics, University of Ioannina, Ioannina 45110, Greece
Intelligent and Nonlinear Dynamic Innovations Research Center, Department of Mathematics, Faculty of Applied Science, King Mongkut's University of Technology North Bangkok, Bangkok 10800, Thailand
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Abstract

In this paper, we studied the existence of solutions for a coupled system of nonlinear sequential proportional ψ-Hilfer fractional differential equations with multi-point boundary conditions. By using a Burton's version of the Krasnosel'ski i ˘ 's fixed-point theorem we established sufficient conditions for the existence result. An example illustrating our main result was also provided.

Keywords

coupled systemHilfer fractional proportional derivativemulti-point boundary conditionsfixed-point theorem
CLC number: 26A33, 34A08, 34B15

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AIMS Mathematics
Volume 9 Issue 5,
May 2024
Pages 12982-13005
DOI: 10.3934/math.2024633

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Cite this article:
Samadi A, Ntouyas SK, Tariboon J. Coupled systems of nonlinear sequential proportional Hilfer-type fractional differential equations with multi-point boundary conditions. AIMS Mathematics, 2024, 9(5): 12982-13005. https://doi.org/10.3934/math.2024633

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Received: 27 February 2024
Revised: 27 March 2024
Accepted: 29 March 2024
Published: 15 May 2024
©2024 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)