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Existence and Uniqueness of Solutions to Time-delays Stochastic Fractional Differential Equations with Non-Lipschitz Coefficients
Authors:Chengyun Long  Jingli Xie
Institution:College of Mathematics and Statistics, Jishou University, Jishou, Hunan 416000, China
Abstract:In this paper, we consider the existence and uniqueness of solutions to time-varying delays stochastic fractional differential equations (SFDEs) with non-Lipschitz coefficients. By using fractional calculus and stochastic analysis, we can obtain the existence result of solutions for stochastic fractional differential equations.
Keywords:Existence and uniqueness  Stochastic fractional differential equations  Time-varying delays  Non-Lipschitz coefficients
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