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Research Article | Open Access

On the generalized Gronwall inequalities involving ψ-fractional integral operator with applications

Qi Wang( ), Shumin Zhu
School of Mathematical Sciences, Anhui University, Hefei, 230601, China
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Abstract

In this paper, a Gronwall inequality involving ψ-fractional integral operator is obtained as a generalization of [23]. An example is listed to show the applications.

Keywords

generalized Gronwall inequalityψ-fractional integral operatorexistence results
CLC number: 34A08

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AIMS Mathematics
Volume 7 Issue 11,
November 2022
Pages 20370-20380
DOI: 10.3934/math.20221115

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Cite this article:
Wang Q, Zhu S. On the generalized Gronwall inequalities involving ψ-fractional integral operator with applications. AIMS Mathematics, 2022, 7(11): 20370-20380. https://doi.org/10.3934/math.20221115

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Received: 28 July 2022
Revised: 03 September 2022
Accepted: 09 September 2022
Published: 15 November 2022
©2022 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)