{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,6,22]],"date-time":"2026-06-22T11:23:28Z","timestamp":1782127408564,"version":"3.54.5"},"reference-count":37,"publisher":"MDPI AG","issue":"1","license":[{"start":{"date-parts":[[2023,1,10]],"date-time":"2023-01-10T00:00:00Z","timestamp":1673308800000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"name":"Deanship of Scientific Research","award":["1878"],"award-info":[{"award-number":["1878"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Symmetry"],"abstract":"<jats:p>We investigate the existence and uniqueness results for coupled Langevin differential equations of fractional order with Katugampola integral boundary conditions involving generalized Liouville\u2013Caputo fractional derivatives. Furthermore, we discuss Ulam\u2013Hyers stability in the context of the problem at hand. The results are shown with examples. Results are asymmetric when a generalised Liouville\u2013Caputo fractional derivative (\u03c1) parameter is changed. With its novel results, this paper makes a significant contribution to the relevant literature.<\/jats:p>","DOI":"10.3390\/sym15010204","type":"journal-article","created":{"date-parts":[[2023,1,11]],"date-time":"2023-01-11T02:06:03Z","timestamp":1673402763000},"page":"204","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":3,"title":["On a System of Coupled Langevin Equations in the Frame of Generalized Liouville\u2013Caputo Fractional Derivatives"],"prefix":"10.3390","volume":"15","author":[{"ORCID":"https:\/\/orcid.org\/0000-0001-8169-5294","authenticated-orcid":false,"given":"Hassan J. Al","family":"Salman","sequence":"first","affiliation":[{"name":"Department of Mathematics and Statistics, College of Science, King Faisal University, Hofuf 319832, Al Ahsa, Saudi Arabia"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-6447-6361","authenticated-orcid":false,"given":"Muath","family":"Awadalla","sequence":"additional","affiliation":[{"name":"Department of Mathematics and Statistics, College of Science, King Faisal University, Hofuf 319832, Al Ahsa, Saudi Arabia"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-5281-0935","authenticated-orcid":false,"given":"Muthaiah","family":"Subramanian","sequence":"additional","affiliation":[{"name":"Department of Mathematics, KPR Institute of Engineering and Technology, Coimbatore 641407, India"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-2744-6320","authenticated-orcid":false,"given":"Kinda","family":"Abuasbeh","sequence":"additional","affiliation":[{"name":"Department of Mathematics and Statistics, College of Science, King Faisal University, Hofuf 319832, Al Ahsa, Saudi Arabia"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"1968","published-online":{"date-parts":[[2023,1,10]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","unstructured":"West, B.J., and Picozzi, S. 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