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Research Article | Open Access

An Erdélyi-Kober fractional coupled system: Existence of positive solutions

Mengjiao Zhao1, Chen Yang2( )
School of Mathematical Sciences, Shanxi University, Taiyuan 030006, Shanxi, China
Shanxi Vocational University of Engineering Science and Technology, Taiyuan, Shanxi 030619, China
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Abstract

This paper studies an Erdélyi-Kober fractional coupled system where the variable is in an infinite interval, and the existence of positive solutions is considered. We first give proper conditions and then use the Guo-Krasnosel'skii fixed point theorem to discuss our problem in a special Banach space. The monotone iterative technique and the existence results of positive solutions for this system are established naturally. To show the plausibility of our main results, several concrete examples are given at the end.

Keywords

Erdélyi-Kober type fractional derivativefractional coupled systeminfinite intervalmonotone iterative techniquepositive solution
CLC number: 26A33, 34A37, 34B15

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AIMS Mathematics
Volume 9 Issue 2,
February 2024
Pages 5088-5109
DOI: 10.3934/math.2024247

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Cite this article:
Zhao M, Yang C. An Erdélyi-Kober fractional coupled system: Existence of positive solutions. AIMS Mathematics, 2024, 9(2): 5088-5109. https://doi.org/10.3934/math.2024247

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Received: 21 October 2023
Revised: 29 December 2023
Accepted: 02 January 2024
Published: 15 February 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)