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Research Article | Open Access

New sharp estimates of the interval length of the uniqueness results for several two-point fractional boundary value problems

Wei Zhang( ), Jinbo Ni
School of mathematics and big data, Anhui University of Science and Technology, Huainan 232001, China
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Abstract

This paper investigates the existence and uniqueness of solutions for several two-point fractional BVPs, including hybrid fractional BVP, sequential fractional BVP and so on. Using the Banach contraction mapping theorem, some sharp conditions that depend on the length of the given interval are presented, which ensure the uniqueness of solutions for the considered BVPs. Illustrative examples are also constructed. The results obtained in this study are noteworthy extensions of earlier works.

Keywords

fractional differential equationtwo-point boundary conditionuniqueness of solution

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Electronic Research Archive
Volume 31 Issue 3,
March 2023
Pages 1253-1270
DOI: 10.3934/era.2023064

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Cite this article:
Zhang W, Ni J. New sharp estimates of the interval length of the uniqueness results for several two-point fractional boundary value problems. Electronic Research Archive, 2023, 31(3): 1253-1270. https://doi.org/10.3934/era.2023064

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Received: 29 August 2022
Revised: 09 December 2022
Accepted: 17 December 2022
Published: 15 March 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)