{"title":"Generalized BDSDEs driven by fractional Brownian motion","authors":"Sadibou Aidara, Assane Ndiaye, Ahmadou Bamba Sow","doi":"10.1515/msds-2022-0167","DOIUrl":null,"url":null,"abstract":"Abstract This article deals with a class of generalized backward doubly stochastic differential equations driven by fractional Brownian motion with the Hurst parameter <m:math xmlns:m=\"http://www.w3.org/1998/Math/MathML\"> <m:mi>H</m:mi> </m:math> H greater than 1/2. The existence and uniqueness of solutions to our equation as well as comparison theorems are obtained.","PeriodicalId":30985,"journal":{"name":"Nonautonomous Dynamical Systems","volume":"26 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Nonautonomous Dynamical Systems","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1515/msds-2022-0167","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"Mathematics","Score":null,"Total":0}
引用次数: 0
Abstract
Abstract This article deals with a class of generalized backward doubly stochastic differential equations driven by fractional Brownian motion with the Hurst parameter H H greater than 1/2. The existence and uniqueness of solutions to our equation as well as comparison theorems are obtained.