{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,1,15]],"date-time":"2026-01-15T01:42:50Z","timestamp":1768441370854,"version":"3.49.0"},"reference-count":40,"publisher":"Oxford University Press (OUP)","issue":"3","license":[{"start":{"date-parts":[[2021,5,11]],"date-time":"2021-05-11T00:00:00Z","timestamp":1620691200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/academic.oup.com\/journals\/pages\/open_access\/funder_policies\/chorus\/standard_publication_model"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2021,8,28]]},"abstract":"<jats:title>Abstract<\/jats:title><jats:p>A controllability analysis of both linear and non-linear fractional-order systems with damping behaviour and multiple delays is studied. We derived the controllability result for damped system with multi-term fractional order and multiple delays by introducing some lemmas with the help of Laplace transform properties and Mittag\u2013Leffler function. Further, some new sufficient conditions ensuring controllability for a class of non-linear multi-term fractional-order damped systems with multiple delays are established by utilizing fractional Caputo derivatives and Schauder\u2019s fixed point theorem. Moreover, as applications that demonstrate the proposed results, two examples are presented.<\/jats:p>","DOI":"10.1093\/imamci\/dnab010","type":"journal-article","created":{"date-parts":[[2021,2,20]],"date-time":"2021-02-20T20:11:08Z","timestamp":1613851868000},"page":"794-821","source":"Crossref","is-referenced-by-count":3,"title":["Controllability of non-linear fractional-order systems with damping behaviour and multiple delays"],"prefix":"10.1093","volume":"38","author":[{"given":"G","family":"Arthi","sequence":"first","affiliation":[{"name":"Department of Mathematics, PSGR Krishnammal College for Women, Coimbatore 641004, India"}]},{"given":"K","family":"Suganya","sequence":"additional","affiliation":[{"name":"Department of Mathematics, PSGR Krishnammal College for Women, Coimbatore 641004, India"}]}],"member":"286","published-online":{"date-parts":[[2021,5,11]]},"reference":[{"key":"2021083004203778400_ref1","doi-asserted-by":"crossref","first-page":"201","DOI":"10.1122\/1.549724","article-title":"A theoretical basis for the application of fractional calculus to viscoelasticity","volume":"27","author":"Bagley","year":"1983","journal-title":"J. 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