Existence of solutions to Caputo fractional differential inclusions of $ 1 &amp;lt; \alpha &amp;lt; 2 $ with initial and impulsive boundary conditions

Ping Tong,Qunjiao Zhang

doi:10.3934/math.20231114

Existence of solutions to Caputo fractional differential inclusions of $ 1 &lt; \alpha &lt; 2 $ with initial and impulsive boundary conditions

Ping Tong, Qunjiao Zhang

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https://doi.org/10.3934/math.20231114

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Journal: AIMS Mathematics	Publication Date: Jan 1, 2023
License type: cc-by

Affiliation: Wuhan Textile University

#Impulsive Boundary Conditions #Initial Boundary Conditions + Show 8 more

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Abstract

<abstract><p>This paper is concerned with the existence of solutions to the Caputo fractional differential inclusion of $ 1 &lt; \alpha &lt; 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.</p></abstract>

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