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Research Article | Open Access

Ulam-Hyers-Rassias stability for a class of nonlinear implicit Hadamard fractional integral boundary value problem with impulses

Kaihong Zhao( ), Shuang Ma
Department of Mathematics, Kunming University of Science and Technology, Yunnan, Kunming 650500, China
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Abstract

This paper considers a class of nonlinear implicit Hadamard fractional differential equations with impulses. By using Banach's contraction mapping principle, we establish some sufficient criteria to ensure the existence and uniqueness of solution. Furthermore, the Ulam-Hyers stability and Ulam-Hyers-Rassias stability of this system are obtained by applying nonlinear functional analysis technique. As applications, an interesting example is provided to illustrate the effectiveness of main results.

Keywords

Hadamard fractional integral BVPexistence and uniquenessstabilitycontraction mapping principle
CLC number: 34A08, 34B10, 34B37, 34D20

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AIMS Mathematics
Volume 7 Issue 2,
February 2022
Pages 3169-3185
DOI: 10.3934/math.2022175

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Cite this article:
Zhao K, Ma S. Ulam-Hyers-Rassias stability for a class of nonlinear implicit Hadamard fractional integral boundary value problem with impulses. AIMS Mathematics, 2022, 7(2): 3169-3185. https://doi.org/10.3934/math.2022175

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Received: 12 October 2021
Accepted: 22 November 2021
Published: 15 February 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)