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Research Article | Open Access

Uniqueness criteria for initial value problem of conformable fractional differential equation

Yumei Zou, Yujun Cui( )
College of Mathematics and Systems Science, Shandong University of Science and Technology, Qingdao 266590, China
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Abstract

This paper presents four uniqueness criteria for the initial value problem of a differential equation which depends on conformable fractional derivative. Among them is the generalization of Nagumo-type uniqueness theory and Lipschitz conditional theory, and advances its development in proving fractional differential equations. Finally, we verify the main conclusions of this paper by providing four concrete examples.

Keywords

conformable fractional differential equationsuniqueness of solutioninitial value problem

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Electronic Research Archive
Volume 31 Issue 7,
July 2023
Pages 4077-4087
DOI: 10.3934/era.2023207

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Cite this article:
Zou Y, Cui Y. Uniqueness criteria for initial value problem of conformable fractional differential equation. Electronic Research Archive, 2023, 31(7): 4077-4087. https://doi.org/10.3934/era.2023207

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Received: 26 April 2023
Revised: 19 May 2023
Accepted: 23 May 2023
Published: 15 July 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)