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Research Article | Open Access

Analysis of a hybrid fractional coupled system of differential equations in n-dimensional space with linear perturbation and nonlinear boundary conditions

Salma Noor1, Aman Ullah1, Anwar Ali1, Saud Fahad Aldosary2( )
Department of Mathematics, University of Malakand, Dir(L), Khyber Pakhtunkhwa, Pakistan
Department of Mathematics, College of Science and Humanities in Alkharj, Prince Sattam bin Abdulaziz University, Alkharj 11942, Saudi Arabia
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Abstract

In this paper, we investigated n-dimensional fractional hybrid differential equations (FHDEs) with nonlinear boundary conditions in a nonlinear coupled system. For this purpose, we used Dhage's fixed point theory, and applied the Krasnoselskii-type coupled fixed point theorem to construct existence conditions of the solution of the FHDEs. To illustrated this idea, suitable examples are presented in 3-dimensional space at the end of the paper.

Keywords

n-dimensional nonlinear coupled systemfractional hybrid differential equationsDhage's fixed point theory
CLC number: 26A33, 34A08, 34K38

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AIMS Mathematics
Volume 9 Issue 6,
May 2024
Pages 16234-16249
DOI: 10.3934/math.2024785

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Cite this article:
Noor S, Ullah A, Ali A, et al. Analysis of a hybrid fractional coupled system of differential equations in n-dimensional space with linear perturbation and nonlinear boundary conditions. AIMS Mathematics, 2024, 9(6): 16234-16249. https://doi.org/10.3934/math.2024785

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Received: 30 January 2024
Revised: 06 April 2024
Accepted: 17 April 2024
Published: 08 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)