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

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 stab...

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Main Authors: Wang, Xiaofeng, Berhail, Amel, Tabouche, Nora, Matar, Mohammed M., Samei, Mohammad Esmael, Kaabar, Mohammed Khalid Awad, Yue, Xiao-Guang
Format: Article
Published: MDPI 2022
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QA Mathematics
Online Access:http://eprints.um.edu.my/41405/
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spelling my.um.eprints.414052023-09-21T08:49:35Z http://eprints.um.edu.my/41405/ A novel investigation of non-periodic snap BVP in the G-Caputo sense Wang, Xiaofeng Berhail, Amel Tabouche, Nora Matar, Mohammed M. Samei, Mohammad Esmael Kaabar, Mohammed Khalid Awad Yue, Xiao-Guang QA Mathematics 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. MDPI 2022-08 Article PeerReviewed 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 <https://doi.org/10.3390/axioms11080390>. 10.3390/axioms11080390
institution Universiti Malaya
building UM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Malaya
content_source UM Research Repository
url_provider http://eprints.um.edu.my/
topic QA Mathematics
spellingShingle QA Mathematics
Wang, Xiaofeng
Berhail, Amel
Tabouche, Nora
Matar, Mohammed M.
Samei, Mohammad Esmael
Kaabar, Mohammed Khalid Awad
Yue, Xiao-Guang
A novel investigation of non-periodic snap BVP in the G-Caputo sense
description 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.
format Article
author Wang, Xiaofeng
Berhail, Amel
Tabouche, Nora
Matar, Mohammed M.
Samei, Mohammad Esmael
Kaabar, Mohammed Khalid Awad
Yue, Xiao-Guang
author_facet Wang, Xiaofeng
Berhail, Amel
Tabouche, Nora
Matar, Mohammed M.
Samei, Mohammad Esmael
Kaabar, Mohammed Khalid Awad
Yue, Xiao-Guang
author_sort Wang, Xiaofeng
title A novel investigation of non-periodic snap BVP in the G-Caputo sense
title_short A novel investigation of non-periodic snap BVP in the G-Caputo sense
title_full A novel investigation of non-periodic snap BVP in the G-Caputo sense
title_fullStr A novel investigation of non-periodic snap BVP in the G-Caputo sense
title_full_unstemmed A novel investigation of non-periodic snap BVP in the G-Caputo sense
title_sort novel investigation of non-periodic snap bvp in the g-caputo sense
publisher MDPI
publishDate 2022
url http://eprints.um.edu.my/41405/
_version_ 1778161668269801472
score 13.211869

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