{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,11,2]],"date-time":"2025-11-02T20:03:16Z","timestamp":1762113796159,"version":"3.37.3"},"reference-count":41,"publisher":"Oxford University Press (OUP)","issue":"4","license":[{"start":{"date-parts":[[2020,2,4]],"date-time":"2020-02-04T00:00:00Z","timestamp":1580774400000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/academic.oup.com\/journals\/pages\/open_access\/funder_policies\/chorus\/standard_publication_model"}],"funder":[{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["11961014","11661030"],"award-info":[{"award-number":["11961014","11661030"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100004607","name":"Natural Science Foundation of Guangxi Province","doi-asserted-by":"publisher","award":["2016GXNSFAA380082","2016GXNSFAA380059","2018GXNSFAA281021"],"award-info":[{"award-number":["2016GXNSFAA380082","2016GXNSFAA380059","2018GXNSFAA281021"]}],"id":[{"id":"10.13039\/501100004607","id-type":"DOI","asserted-by":"publisher"}]},{"name":"Foundation of Guilin University of Technology","award":["GUTQDJJ2017062"],"award-info":[{"award-number":["GUTQDJJ2017062"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2020,12,16]]},"abstract":"<jats:title>Abstract<\/jats:title>\n               <jats:p>This article investigates the topological structural of the mild solution set for a control problem monitored by semilinear fractional impulsive evolution equations with nonlocal conditions. The $R_{\\delta }$-property of the mild solution set is obtained by applying the measure of noncompactness and a fixed point theorem of condensing maps and a fixed point theorem of nonconvex valued maps. Then this result is applied to prove that the presented control problem has a reachable invariant set under nonlinear perturbations. The obtained results are also applied to characterize the approximate controllability of the presented control problem.<\/jats:p>","DOI":"10.1093\/imamci\/dnz038","type":"journal-article","created":{"date-parts":[[2019,11,21]],"date-time":"2019-11-21T20:10:40Z","timestamp":1574367040000},"page":"1089-1113","source":"Crossref","is-referenced-by-count":1,"title":["Topological structure of solution sets for control problems governed by semilinear fractional impulsive evolution equations with nonlocal conditions"],"prefix":"10.1093","volume":"37","author":[{"given":"Yi-rong","family":"Jiang","sequence":"first","affiliation":[{"name":"College of Science, Guilin University of Technology, Guilin 541004,Guangxi Province, P.R. China"},{"name":"Center for Data Analysis and Algorithm Technology, Guilin University of Technology, Guilin 541004,Guangxi Province, P.R. China"}]},{"given":"Qiong-fen","family":"Zhang","sequence":"additional","affiliation":[{"name":"College of Science, Guilin University of Technology, Guilin 541004,Guangxi Province, P.R. China"},{"name":"Center for Data Analysis and Algorithm Technology, Guilin University of Technology, Guilin 541004,Guangxi Province, P.R. China"}]},{"given":"Qi-qing","family":"Song","sequence":"additional","affiliation":[{"name":"College of Science, Guilin University of Technology, Guilin 541004,Guangxi Province, P.R. China"},{"name":"Center for Data Analysis and Algorithm Technology, Guilin University of Technology, Guilin 541004,Guangxi Province, P.R. China"}]}],"member":"286","published-online":{"date-parts":[[2020,2,4]]},"reference":[{"key":"2020121601134471200_ref1","doi-asserted-by":"crossref","first-page":"11698","DOI":"10.1073\/pnas.90.24.11698","article-title":"Pulse mass measles vaccination across age cohorts","volume":"90","author":"Agur","year":"1993","journal-title":"Proc. Nat. Acad. Sci. 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