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Due to the strong nonlinearity of the stochastic state equations, strong solutions are available just locally in time, and the cost functional includes an appropriate stopping time. First, we show the existence of an optimal pair. Then, we show that the solution of the stochastic forward linearized equation coincides with the G\u00e2teaux derivative of the control-to-state mapping, after establishing some stability results. Next, we analyse the backward stochastic adjoint equation; where the uniqueness of solution holds only when <jats:italic>d<\/jats:italic> = 2. Finally, we establish a duality relation and deduce the necessary optimality conditions.<\/jats:p>","DOI":"10.1051\/cocv\/2025002","type":"journal-article","created":{"date-parts":[[2025,1,6]],"date-time":"2025-01-06T19:52:36Z","timestamp":1736193156000},"page":"16","source":"Crossref","is-referenced-by-count":0,"title":["Optimal control of third grade fluids with multiplicative noise"],"prefix":"10.1051","volume":"31","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-1516-0272","authenticated-orcid":false,"given":"Yassine","family":"Tahraoui","sequence":"first","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0001-6385-8846","authenticated-orcid":false,"given":"Fernanda","family":"Cipriano","sequence":"additional","affiliation":[]}],"member":"250","published-online":{"date-parts":[[2025,2,18]]},"reference":[{"key":"R1","doi-asserted-by":"crossref","first-page":"689","DOI":"10.1016\/0020-7225(94)00078-X","volume":"33","author":"Dunn","year":"1995","journal-title":"Int. J. Eng. 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