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Research Article | Open Access

Positive solutions for fractional iterative functional differential equation with a convection term

Qingcong Song, Xinan Hao( )
School of Mathematical Sciences, Qufu Normal University, Qufu 273165, Shandong, China
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Abstract

In this paper, we deal with the fractional iterative functional differential equation nonlocal boundary value problem with a convection term. By using the fixed point theorems, some results about existence, uniqueness, continuous dependence and multiplicity of positive solutions are derived.

Keywords

fractional iterative functional differential equationconvection termintegral boundary conditionpositive solutionfixed point theorems

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Electronic Research Archive
Volume 31 Issue 4,
April 2023
Pages 1863-1875
DOI: 10.3934/era.2023096

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Cite this article:
Song Q, Hao X. Positive solutions for fractional iterative functional differential equation with a convection term. Electronic Research Archive, 2023, 31(4): 1863-1875. https://doi.org/10.3934/era.2023096

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Received: 17 November 2022
Revised: 31 January 2023
Accepted: 02 February 2023
Published: 15 April 2023
©2023 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0)