{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,5,24]],"date-time":"2026-05-24T23:04:33Z","timestamp":1779663873529,"version":"3.53.1"},"reference-count":35,"publisher":"Wiley","issue":"1","license":[{"start":{"date-parts":[[2026,5,9]],"date-time":"2026-05-09T00:00:00Z","timestamp":1778284800000},"content-version":"vor","delay-in-days":128,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"},{"start":{"date-parts":[[2026,1,1]],"date-time":"2026-01-01T00:00:00Z","timestamp":1767225600000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/doi.wiley.com\/10.1002\/tdm_license_1.1"}],"funder":[{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["12201148"],"award-info":[{"award-number":["12201148"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["onlinelibrary.wiley.com"],"crossmark-restriction":true},"short-container-title":["Journal of Applied Mathematics"],"published-print":{"date-parts":[[2026,1]]},"abstract":"<jats:p>\n                    In this paper, we study the relative controllability of fractional stochastic delay system (FSDS) driven by\n                    <jats:italic>L\u00e9vy<\/jats:italic>\n                    noise. First, we derive the solution of linear FSDS by using the delayed Mittag\u2013Leffler matrix function. Then, using Grammian matrix, we discuss the relative controllability of linear FSDS. In addition, the relative controllability of nonlinear FSDS is discussed using the Cauchy\u2013Schwarz inequality, Jensen\u2019s inequality, It\u2019s formula, and Krasnoselskii fixed\u2010point theorem. Finally, an example is given to verify the theoretical results.\n                  <\/jats:p>","DOI":"10.1155\/jama\/6812601","type":"journal-article","created":{"date-parts":[[2026,5,9]],"date-time":"2026-05-09T23:01:08Z","timestamp":1778367668000},"update-policy":"https:\/\/doi.org\/10.1002\/crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["Relative Controllability of Caputo Fractional\u2010Order Stochastic Delay System Driven by L\u00e9vy 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