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Research Article | Open Access

Existence of solutions for a class of fractional dynamical systems with two damping terms in Banach space

Shuli Zhang, Yansheng Liu( )
School of Mathematics and Statistics, Shandong Normal University, Jinan 250014, China
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Abstract

This paper studies the existence of solutions for fractional dynamical systems with two damping terms in Banach space. First, we generalize the well-known Gronwall inequality. Next, according to fixed-point theorems and inequalities, the existence results for the considered system are obtained. At last, an example is used to support the main results.

Keywords

Gronwall inequalityfixed point theoremsfractional differential equationtwo damping terms

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Mathematical Modelling and Control
Volume 3 Issue 3,
September 2023
Pages 168-180
DOI: 10.3934/mmc.2023015

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Cite this article:
Zhang S, Liu Y. Existence of solutions for a class of fractional dynamical systems with two damping terms in Banach space. Mathematical Modelling and Control, 2023, 3(3): 168-180. https://doi.org/10.3934/mmc.2023015

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Received: 01 December 2022
Revised: 15 February 2023
Accepted: 05 March 2023
Published: 15 September 2023
©2023 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)