A novel investigation of non-periodic snap BVP in the G-Caputo sense

Wang, Xiaofeng and Berhail, Amel and Tabouche, Nora and Matar, Mohammed M. and Samei, Mohammad Esmael and Kaabar, Mohammed Khalid Awad and Yue, Xiao-Guang (2022) A novel investigation of non-periodic snap BVP in the G-Caputo sense. Axioms, 11 (8). ISSN 2075-1680, DOI https://doi.org/10.3390/axioms11080390.

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In the present paper, we consider a nonlinear fractional snap model with respect to a G-Caputo derivative and subject to non-periodic boundary conditions. Some qualitative analysis of the solution, such as existence and uniqueness, are investigated in view of fixed-point theorems. Moreover, the stabilities of Ulam-Hyers and Ulam-Hyers-Rassias criterions are considered and investigated. Some numerical simulations were performed using MATLAB for understanding the theoretical results. All results in this work play an important role in understanding ocean engineering phenomena due to the huge applicability of jerk and snap in seakeeping, ride comfort, and shock response spectrum.

Item Type: Article
Uncontrolled Keywords: Snap problem; G-Caputo fractional differential equation; Boundary value problem; Ulam-Hyers-Rassias stability
Subjects: Q Science > QA Mathematics
Depositing User: Ms. Juhaida Abd Rahim
Date Deposited: 21 Sep 2023 08:49
Last Modified: 21 Sep 2023 08:49
URI: http://eprints.um.edu.my/id/eprint/41405

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