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

Authors :
Salma Noor
Aman Ullah
Anwar Ali
Saud Fahad Aldosary
Source :
AIMS Mathematics, Vol 9, Iss 6, Pp 16234-16249 (2024)
Publication Year :
2024
Publisher :
AIMS Press, 2024.

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.

Details

Language :
English
ISSN :
24736988
Volume :
9
Issue :
6
Database :
Directory of Open Access Journals
Journal :
AIMS Mathematics
Publication Type :
Academic Journal
Accession number :
edsdoj.5529d25253bf45308f4d316473dddd8d
Document Type :
article
Full Text :
https://doi.org/10.3934/math.2024785?viewType=HTML