{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,26]],"date-time":"2026-02-26T12:44:18Z","timestamp":1772109858733,"version":"3.50.1"},"reference-count":21,"publisher":"MDPI AG","issue":"8","license":[{"start":{"date-parts":[[2022,8,8]],"date-time":"2022-08-08T00:00:00Z","timestamp":1659916800000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Axioms"],"abstract":"<jats:p>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\u2013Hyers and Ulam\u2013Hyers\u2013Rassias 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.<\/jats:p>","DOI":"10.3390\/axioms11080390","type":"journal-article","created":{"date-parts":[[2022,8,8]],"date-time":"2022-08-08T21:09:18Z","timestamp":1659992958000},"page":"390","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":10,"title":["A Novel Investigation of Non-Periodic Snap BVP in the G-Caputo Sense"],"prefix":"10.3390","volume":"11","author":[{"ORCID":"https:\/\/orcid.org\/0000-0001-6259-7971","authenticated-orcid":false,"given":"Xiaofeng","family":"Wang","sequence":"first","affiliation":[{"name":"School of Media and Communication, Shenzhen University, Shenzhen 518060, China"}]},{"given":"Amel","family":"Berhail","sequence":"additional","affiliation":[{"name":"Department of Mathematics, 8 Mai 1945 University, Guelma 24000, Algeria"}]},{"given":"Nora","family":"Tabouche","sequence":"additional","affiliation":[{"name":"Department of Mathematics, 8 Mai 1945 University, Guelma 24000, Algeria"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-7696-2340","authenticated-orcid":false,"given":"Mohammed M.","family":"Matar","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Al-Azhar University-Gaza, Gaza P.O. Box 1277, Palestine"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-5450-3127","authenticated-orcid":false,"given":"Mohammad Esmael","family":"Samei","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Faculty of Basic Science, Bu-Ali Sina University, Hamedan 65178, Iran"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-2260-0341","authenticated-orcid":false,"given":"Mohammed K. A.","family":"Kaabar","sequence":"additional","affiliation":[{"name":"Institute of Mathematical Sciences, Faculty of Science, Universiti Malaya, Kuala Lumpur 50603, Malaysia"}]},{"given":"Xiao-Guang","family":"Yue","sequence":"additional","affiliation":[{"name":"School of Media and Communication, Shenzhen University, Shenzhen 518060, China"},{"name":"Department of Computer Science and Engineering, European University Cyprus, Nicosia 1516, Cyprus"},{"name":"CIICESI-ESTG, Politecnico do Porto, 4610-156 Felgueiras, Portugal"}]}],"member":"1968","published-online":{"date-parts":[[2022,8,8]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"671","DOI":"10.1016\/S0022-460X(03)00299-2","article-title":"Harmonic balance approach to periodic solutions of nonlinear jerk equations","volume":"271","author":"Gottlieb","year":"2004","journal-title":"J. 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