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Research Article | Open Access

Approximate controllability for a class of fractional semilinear system with instantaneous and non-instantaneous impulses

Yunhao Chu, Yansheng Liu( )
School of Mathematics and Statistics, Shandong Normal University, Ji'nan 250014, China
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Abstract

This paper is mainly concerned with the existence of mild solutions and approximate controllability for a class of fractional semilinear systems with instantaneous and non-instantaneous impulses. By applying the Kuratowski measure of noncompactness and ρ-set contractive fixed-point theorem, the results for the considered system were obtained. In the end, an example was studied to support the main results.

Keywords

approximate controllabilityfractional semilinear systeminstantaneous and non-instantaneous impulsesKuratowski measure of noncompactness

References

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Mathematical Modelling and Control
Volume 4 Issue 3,
September 2024
Pages 273-285
DOI: 10.3934/mmc.2024022

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Cite this article:
Chu Y, Liu Y. Approximate controllability for a class of fractional semilinear system with instantaneous and non-instantaneous impulses. Mathematical Modelling and Control, 2024, 4(3): 273-285. https://doi.org/10.3934/mmc.2024022

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Received: 03 February 2023
Revised: 25 July 2024
Accepted: 17 August 2023
Published: 15 September 2024
©2024 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)