{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,26]],"date-time":"2026-02-26T12:44:20Z","timestamp":1772109860102,"version":"3.50.1"},"reference-count":39,"publisher":"MDPI AG","issue":"5","license":[{"start":{"date-parts":[[2023,5,8]],"date-time":"2023-05-08T00:00:00Z","timestamp":1683504000000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"name":"National Science, Research, and Innovation Fund","award":["KMUTNB-FF-66-11"],"award-info":[{"award-number":["KMUTNB-FF-66-11"]}]},{"DOI":"10.13039\/501100007345","name":"King Mongkut\u2019s University of Technology North Bangkok","doi-asserted-by":"publisher","award":["KMUTNB-FF-66-11"],"award-info":[{"award-number":["KMUTNB-FF-66-11"]}],"id":[{"id":"10.13039\/501100007345","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Symmetry"],"abstract":"<jats:p>In this paper, we study a coupled fully hybrid system of (k,\u03a6)\u2013Hilfer fractional differential equations equipped with non-symmetric (k,\u03a6)\u2013Riemann-Liouville (RL) integral conditions. To prove the existence and uniqueness results, we use the Krasnoselskii and Perov fixed-point theorems with Lipschitzian matrix in the context of a generalized Banach space (GBS). Moreover, the Ulam\u2013Hyers (UH) stability of the solutions is discussed by using the Urs\u2019s method. Finally, an illustrated example is given to confirm the validity of our results.<\/jats:p>","DOI":"10.3390\/sym15051041","type":"journal-article","created":{"date-parts":[[2023,5,9]],"date-time":"2023-05-09T01:06:28Z","timestamp":1683594388000},"page":"1041","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":25,"title":["A Mathematical Theoretical Study of a Coupled Fully Hybrid (k, \u03a6)-Fractional Order System of BVPs in Generalized Banach Spaces"],"prefix":"10.3390","volume":"15","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-6032-4694","authenticated-orcid":false,"given":"Abdellatif","family":"Boutiara","sequence":"first","affiliation":[{"name":"Laboratory of Mathematics and Applied Sciences, University of Ghardaia, Ghardaia 47000, Algeria"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-1574-1800","authenticated-orcid":false,"given":"Sina","family":"Etemad","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Azarbaijan Shahid Madani University, Tabriz 3751-71379, Iran"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-4568-9732","authenticated-orcid":false,"given":"Sabri T. M.","family":"Thabet","sequence":"additional","affiliation":[{"name":"Department of Mathematics, University of Lahej, Lahej 73560, Yemen"},{"name":"Department of Mathematics, University of Aden, Aden 124, Yemen"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-7695-2118","authenticated-orcid":false,"given":"Sotiris K.","family":"Ntouyas","sequence":"additional","affiliation":[{"name":"Department of Mathematics, University of Ioannina, 451 10 Ioannina, Greece"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-3463-2607","authenticated-orcid":false,"given":"Shahram","family":"Rezapour","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Azarbaijan Shahid Madani University, Tabriz 3751-71379, Iran"},{"name":"Department of Medical Research, China Medical University Hospital, China Medical University, Taichung 40402, Taiwan"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-8185-3539","authenticated-orcid":false,"given":"Jessada","family":"Tariboon","sequence":"additional","affiliation":[{"name":"Intelligent and Nonlinear Dynamic Innovations Research Center, Department of Mathematics, Faculty of Applied Science, King Mongkut\u2019s University of Technology North Bangkok, Bangkok 10800, Thailand"}]}],"member":"1968","published-online":{"date-parts":[[2023,5,8]]},"reference":[{"key":"ref_1","unstructured":"Podlubny, I. 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