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The uniqueness of solutions for the presented problem is discussed by employing the fixed\u2010point theorem. The Leray\u2013Schauder\u2019s alternative is used to investigate the existence of solutions for the presented equation. A formulation of certain conditions for the Hyers\u2013Ulam type stability of solutions pertaining to the boundary value problem (BVP) is discussed. Finally, two numerical examples are presented to examine and illustrate our results.<\/jats:p>","DOI":"10.1155\/ijmm\/1857236","type":"journal-article","created":{"date-parts":[[2024,11,25]],"date-time":"2024-11-25T12:34:33Z","timestamp":1732538073000},"update-policy":"https:\/\/doi.org\/10.1002\/crossmark_policy","source":"Crossref","is-referenced-by-count":1,"title":["Stability and Uniqueness Results for the Nonseparated Boundary Conditions of Nonlinear Coupled System of Fractional Differential Equations"],"prefix":"10.1155","volume":"2024","author":[{"given":"Areen","family":"Al-khateeb","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-9668-9986","authenticated-orcid":false,"given":"Hamzeh","family":"Zureigat","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-2393-4418","authenticated-orcid":false,"given":"Belal","family":"Batiha","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Shawkat","family":"Alkhazaleh","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"311","published-online":{"date-parts":[[2024,11,25]]},"reference":[{"key":"e_1_2_11_1_2","volume-title":"Fractional Differential Equations","author":"Podlubny I.","year":"1999"},{"key":"e_1_2_11_2_2","article-title":"Theory and Applications of Fractional Differential Equations","volume":"204","author":"Kilbas A. 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