{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,8,6]],"date-time":"2024-08-06T00:12:06Z","timestamp":1722903126576},"reference-count":17,"publisher":"MDPI AG","issue":"9","license":[{"start":{"date-parts":[[2022,9,14]],"date-time":"2022-09-14T00:00:00Z","timestamp":1663113600000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["12161015"],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100005357","name":"Slovak Research and Development Agency","doi-asserted-by":"publisher","award":["APVV-18-0308"],"id":[{"id":"10.13039\/501100005357","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100003193","name":"Slovak Grant Agency VEGA","doi-asserted-by":"publisher","award":["1\/0358\/20","2\/0127\/20"],"id":[{"id":"10.13039\/501100003193","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Axioms"],"abstract":"In this paper, we investigate the controllability of first-order impulsive fuzzy differential equations. Using the direct construction method, the controllability of first-order linear impulsive fuzzy differential equations is considered with a<0, the (c1) solution, and a<0, the (c2) solution, respectively.In addition, by employing the Banach fixed-point theorem, the controllability of first-order nonlinear impulsive fuzzy differential equations is studied. Finally, examples are presented to illustrate our theoretical results.<\/jats:p>","DOI":"10.3390\/axioms11090471","type":"journal-article","created":{"date-parts":[[2022,9,15]],"date-time":"2022-09-15T00:50:45Z","timestamp":1663203045000},"page":"471","source":"Crossref","is-referenced-by-count":1,"title":["Controllability Results for First Order Impulsive Fuzzy Differential Systems"],"prefix":"10.3390","volume":"11","author":[{"given":"Rui","family":"Liu","sequence":"first","affiliation":[{"name":"Department of Mathematics, Guizhou University, Guiyang 550025, China"}]},{"ORCID":"http:\/\/orcid.org\/0000-0002-7385-6737","authenticated-orcid":false,"given":"Michal","family":"Fe\u010dkan","sequence":"additional","affiliation":[{"name":"Department of Mathematical Analysis and Numerical Mathematics, Faculty of Mathematics, Physics and Informatics, Comenius University in Bratislava, Mlynsk\u00e1 dolina, 842 48 Bratislava, Slovakia"},{"name":"Mathematical Institute, Slovak Academy of Sciences, \u0160tef\u00e1nikova 49, 814 73 Bratislava, Slovakia"}]},{"ORCID":"http:\/\/orcid.org\/0000-0002-4096-1469","authenticated-orcid":false,"given":"Donal","family":"O\u2019Regan","sequence":"additional","affiliation":[{"name":"School of Mathematical and Statistical Sciences, National University of Ireland, H91 TK33 Galway, Ireland"}]},{"ORCID":"http:\/\/orcid.org\/0000-0002-6642-1946","authenticated-orcid":false,"given":"Jinrong","family":"Wang","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Guizhou University, Guiyang 550025, China"}]}],"member":"1968","published-online":{"date-parts":[[2022,9,14]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"24","DOI":"10.1006\/jmaa.1993.1240","article-title":"Controllability of impulsive differential equations","volume":"177","author":"Leela","year":"1993","journal-title":"J. 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