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Research Article | Open Access

Solvability of fractional differential system with parameters and singular nonlinear terms

Ying Wang1( ), Limin Guo2, Yumei Zi1, Jing Li1
School of Mathematics and Statistics, Linyi University, Linyi 276000, Shandong, China
School of Science, Changzhou Institute of Technology, Changzhou 213002, Jiangsu, China
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Abstract

In this article, we consider the parametric high-order fractional system with integral boundary value conditions involving derivatives of order p- q. With the aid of the fixed-point theorem, an exact interval from the existence to the solution of the system will be obtained, under the condition that the nonlinearities of the system may have singularities. Finally, we provide an instance to show the practicality of the primary outcomes.

Keywords

positive solutionparameterfractional differential systemsingular
CLC number: 26A33, 34B16, 34B18

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AIMS Mathematics
Volume 9 Issue 8,
August 2024
Pages 22435-22453
DOI: 10.3934/math.20241091

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Cite this article:
Wang Y, Guo L, Zi Y, et al. Solvability of fractional differential system with parameters and singular nonlinear terms. AIMS Mathematics, 2024, 9(8): 22435-22453. https://doi.org/10.3934/math.20241091

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Received: 19 April 2024
Revised: 17 June 2024
Accepted: 15 July 2024
Published: 15 August 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)