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Research Article | Open Access

Existence of solutions to Caputo fractional differential inclusions of 1 < α < 2 with initial and impulsive boundary conditions

Ping Tong, Qunjiao Zhang( )
School of Mathematical and Physical Sciences, Research Center of Nonlinear Science, Wuhan Textile University, Wuhan, China
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Abstract

This paper is concerned with the existence of solutions to the Caputo fractional differential inclusion of 1 < α < 2 with initial and impulsive boundary conditions. A novel existence result is presented based on the fixed-point theorem of Dhage for multi-valued operators with some assumptions. Finally, two examples are provided to explicate the applicability of the main result.

Keywords

fractional differential inclusionimpulsive boundary conditionsfixed-point theorem of Dhage
CLC number: 34A08, 34C25

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AIMS Mathematics
Volume 8 Issue 9,
September 2023
Pages 21856-21871
DOI: 10.3934/math.20231114

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Cite this article:
Tong P, Zhang Q. Existence of solutions to Caputo fractional differential inclusions of 1 < α < 2 with initial and impulsive boundary conditions. AIMS Mathematics, 2023, 8(9): 21856-21871. https://doi.org/10.3934/math.20231114

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Received: 08 May 2023
Revised: 23 June 2023
Accepted: 27 June 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)