This paper is concerned with the existence of solutions to the Caputo fractional differential inclusion of $ 1 < \alpha < 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.
Citation: Ping Tong, Qunjiao Zhang. Existence of solutions to Caputo fractional differential inclusions of $ 1 < \alpha < 2 $ with initial and impulsive boundary conditions[J]. AIMS Mathematics, 2023, 8(9): 21856-21871. doi: 10.3934/math.20231114
This paper is concerned with the existence of solutions to the Caputo fractional differential inclusion of $ 1 < \alpha < 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.
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Ping Tong, Qunjiao Zhang. Existence of solutions to Caputo fractional differential inclusions of $ 1 < \alpha < 2 $ with initial and impulsive boundary conditions[J]. AIMS Mathematics, 2023, 8(9): 21856-21871. doi: 10.3934/math.20231114
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