{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,27]],"date-time":"2026-03-27T15:14:53Z","timestamp":1774624493058,"version":"3.50.1"},"update-to":[{"DOI":"10.3846\/13926292.2017.1329755","type":"correction","label":"Correction","source":"publisher","updated":{"date-parts":[[2018,8,13]],"date-time":"2018-08-13T00:00:00Z","timestamp":1534118400000}}],"reference-count":27,"publisher":"Vilnius Gediminas Technical University","issue":"4","funder":[{"name":"the Graduate Innovation Project of Jiangsu Province","award":["KYLX16_0778"],"award-info":[{"award-number":["KYLX16_0778"]}]},{"name":"the Natural Science Foundation of Jiangsu Province of China","award":["BK20161126"],"award-info":[{"award-number":["BK20161126"]}]}],"content-domain":{"domain":["journals.vgtu.lt"],"crossmark-restriction":true},"short-container-title":[],"abstract":"<jats:p>This paper investigates fractional order Barbalat\u2019s lemma and its applications for the stability of fractional order nonlinear systems with Caputo fractional derivative at first. Then, based on the relationship between Caputo fractional derivative and Riemann-Liouville fractional derivative, fractional order Barbalat\u2019s lemma with Riemann-Liouville derivative is derived. Furthermore, according to these results, a set of new formulations of Lyapunov-like lemmas for fractional order nonlinear systems are established. Finally, an example is presented to verify the theoretical results in this paper.<\/jats:p>","DOI":"10.3846\/13926292.2017.1329755","type":"journal-article","created":{"date-parts":[[2017,7,3]],"date-time":"2017-07-03T10:40:26Z","timestamp":1499078426000},"page":"503-513","update-policy":"https:\/\/doi.org\/10.3846\/mma_policy","source":"Crossref","is-referenced-by-count":36,"title":["Correction: FRACTIONAL ORDER BARBALAT\u2019S LEMMA AND ITS APPLICATIONS IN THE STABILITY OF FRACTIONAL ORDER NONLINEAR SYSTEMS"],"prefix":"10.3846","volume":"22","author":[{"given":"Fei","family":"Wang","sequence":"first","affiliation":[{"name":"Jiangnan University"}]},{"given":"Yongqing","family":"Yang","sequence":"additional","affiliation":[{"name":"Jiangnan University"}]}],"member":"2209","published-online":{"date-parts":[[2017,7,3]]},"reference":[{"key":"CIT0001","doi-asserted-by":"publisher","DOI":"10.1109\/TCYB.2014.2356414"},{"key":"CIT0002","volume-title":"Fractional dynamics and 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