{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,10]],"date-time":"2025-10-10T20:10:52Z","timestamp":1760127052241,"version":"build-2065373602"},"reference-count":26,"publisher":"MDPI AG","issue":"9","license":[{"start":{"date-parts":[[2023,5,4]],"date-time":"2023-05-04T00:00:00Z","timestamp":1683158400000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Mathematics"],"abstract":"<jats:p>Stability is the most relevant property of dynamical systems. The stability of stochastic differential equations is a challenging and still open problem. In this article, using a fuzzy Mittag\u2013Leffler function, we introduce a new fuzzy controller function to stabilize the stochastic differential equation (SDE) \u03bd\u2032(\u03b3,\u03bc)=F\u03b3,\u03bc,\u03bd(\u03b3,\u03bc). By adopting the fixed point technique, we are able to prove the fuzzy Mittag\u2013Leffler\u2013Hyers\u2013Ulam\u2013Rassias stability of the SDE.<\/jats:p>","DOI":"10.3390\/math11092154","type":"journal-article","created":{"date-parts":[[2023,5,5]],"date-time":"2023-05-05T02:08:42Z","timestamp":1683252522000},"page":"2154","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":1,"title":["Fuzzy Mittag\u2013Leffler\u2013Hyers\u2013Ulam\u2013Rassias Stability of Stochastic Differential Equations"],"prefix":"10.3390","volume":"11","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-2817-9711","authenticated-orcid":false,"given":"Reza","family":"Chaharpashlou","sequence":"first","affiliation":[{"name":"Department of Mathematics, Jundi-Shapur University of Technology, Dezful 64615-334, Iran"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-6770-6951","authenticated-orcid":false,"given":"Reza","family":"Saadati","sequence":"additional","affiliation":[{"name":"School of Mathematics, Iran University of Science and Technology, Narmak, Tehran 13114-16846, Iran"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-7359-4370","authenticated-orcid":false,"given":"Ant\u00f3nio M.","family":"Lopes","sequence":"additional","affiliation":[{"name":"LAETA\/INEGI, Faculty of Engineering, University of Porto, Rua Dr. Roberto Frias, 4200-465 Porto, Portugal"}]}],"member":"1968","published-online":{"date-parts":[[2023,5,4]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"351","DOI":"10.1016\/0165-0114(88)90061-9","article-title":"On fuzzy pseudo-normed vector spaces","volume":"27","author":"Morsi","year":"1988","journal-title":"Fuzzy Sets Syst."},{"key":"ref_2","first-page":"31","article-title":"LM-fuzzy metric spaces and convergence","volume":"71","author":"Shi","year":"2019","journal-title":"Mat. 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