{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,7]],"date-time":"2026-03-07T15:45:12Z","timestamp":1772898312961,"version":"3.50.1"},"reference-count":23,"publisher":"Wiley","issue":"1","license":[{"start":{"date-parts":[[2021,8,3]],"date-time":"2021-08-03T00:00:00Z","timestamp":1627948800000},"content-version":"vor","delay-in-days":214,"URL":"http:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"DOI":"10.13039\/501100002338","name":"Ministry of Education of the People's Republic of China","doi-asserted-by":"publisher","award":["202002165040"],"award-info":[{"award-number":["202002165040"]}],"id":[{"id":"10.13039\/501100002338","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["onlinelibrary.wiley.com"],"crossmark-restriction":true},"short-container-title":["Complexity"],"published-print":{"date-parts":[[2021,1]]},"abstract":"<jats:p>In this article, we investigate a class of Caputo fractional stochastic differential equations driven by fractional Brownian motion with delays. Under some novel assumptions, the averaging principle of the system is obtained. Finally, we give an example to show that the solution of Caputo fractional stochastic differential equations driven by fractional Brownian motion with delays converges to the corresponding averaged stochastic differential equation.<\/jats:p>","DOI":"10.1155\/2021\/6646843","type":"journal-article","created":{"date-parts":[[2021,8,3]],"date-time":"2021-08-03T22:50:07Z","timestamp":1628031007000},"update-policy":"https:\/\/doi.org\/10.1002\/crossmark_policy","source":"Crossref","is-referenced-by-count":10,"title":["Averaging Principle for Caputo Fractional Stochastic Differential Equations Driven by Fractional Brownian Motion with Delays"],"prefix":"10.1155","volume":"2021","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-3396-6613","authenticated-orcid":false,"given":"Pengju","family":"Duan","sequence":"first","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0003-4870-240X","authenticated-orcid":false,"given":"Hao","family":"Li","sequence":"additional","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0001-7414-3387","authenticated-orcid":false,"given":"Jie","family":"Li","sequence":"additional","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0001-7465-6174","authenticated-orcid":false,"given":"Pei","family":"Zhang","sequence":"additional","affiliation":[]}],"member":"311","published-online":{"date-parts":[[2021,8,3]]},"reference":[{"key":"e_1_2_8_1_2","article-title":"Stabilization and control of fractional order systems: A sliding mode approach","author":"Bandyopadhyay B.","year":"2015","journal-title":"Lecture Notes in Electrical Engineering"},{"key":"e_1_2_8_2_2","article-title":"Theory and applications of fractional differential equations","author":"Kilbas A.","year":"2006","journal-title":"North-Holland Mathematics Studies"},{"key":"e_1_2_8_3_2","doi-asserted-by":"publisher","DOI":"10.1080\/07362994.2018.1440243"},{"key":"e_1_2_8_4_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.chaos.2019.01.028"},{"key":"e_1_2_8_5_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.apnum.2020.05.007"},{"key":"e_1_2_8_6_2","doi-asserted-by":"publisher","DOI":"10.1080\/00207721.2019.1645231"},{"key":"e_1_2_8_7_2","doi-asserted-by":"publisher","DOI":"10.1007\/s10959-018-0810-8"},{"key":"e_1_2_8_8_2","doi-asserted-by":"publisher","DOI":"10.1186\/s13661-020-01418-0"},{"key":"e_1_2_8_9_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.amc.2018.04.060"},{"key":"e_1_2_8_10_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.amc.2017.02.013"},{"key":"e_1_2_8_11_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.amc.2018.03.009"},{"key":"e_1_2_8_12_2","doi-asserted-by":"publisher","DOI":"10.1155\/2018\/9598307"},{"key":"e_1_2_8_13_2","doi-asserted-by":"publisher","DOI":"10.1155\/2020\/4346803"},{"key":"e_1_2_8_14_2","doi-asserted-by":"publisher","DOI":"10.1155\/2017\/5292894"},{"key":"e_1_2_8_15_2","first-page":"260","article-title":"On the principle of averaging the It\u00f4 stochastic differential equations","volume":"4","author":"Khasminskii R.","year":"1968","journal-title":"Kibernetika"},{"key":"e_1_2_8_16_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.nahs.2017.08.008"},{"key":"e_1_2_8_17_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.aml.2020.106755"},{"key":"e_1_2_8_18_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.nahs.2018.10.002"},{"key":"e_1_2_8_19_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.aml.2019.106006"},{"key":"e_1_2_8_20_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.aml.2020.106290"},{"key":"e_1_2_8_21_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.aml.2019.02.005"},{"key":"e_1_2_8_22_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.na.2011.02.047"},{"key":"e_1_2_8_23_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.jmaa.2006.05.061"}],"container-title":["Complexity"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/downloads.hindawi.com\/journals\/complexity\/2021\/6646843.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/journals\/complexity\/2021\/6646843.xml","content-type":"application\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/pdf\/10.1155\/2021\/6646843","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,8,9]],"date-time":"2024-08-09T22:49:51Z","timestamp":1723243791000},"score":1,"resource":{"primary":{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/10.1155\/2021\/6646843"}},"subtitle":[],"editor":[{"given":"Xue-bo","family":"Jin","sequence":"additional","affiliation":[]}],"short-title":[],"issued":{"date-parts":[[2021,1]]},"references-count":23,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2021,1]]}},"alternative-id":["10.1155\/2021\/6646843"],"URL":"https:\/\/doi.org\/10.1155\/2021\/6646843","archive":["Portico"],"relation":{},"ISSN":["1076-2787","1099-0526"],"issn-type":[{"value":"1076-2787","type":"print"},{"value":"1099-0526","type":"electronic"}],"subject":[],"published":{"date-parts":[[2021,1]]},"assertion":[{"value":"2020-11-26","order":0,"name":"received","label":"Received","group":{"name":"publication_history","label":"Publication History"}},{"value":"2021-07-17","order":2,"name":"accepted","label":"Accepted","group":{"name":"publication_history","label":"Publication History"}},{"value":"2021-08-03","order":3,"name":"published","label":"Published","group":{"name":"publication_history","label":"Publication History"}}],"article-number":"6646843"}}