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Existence and Uniqueness of Solutions to Time-delays Stochastic Fractional Differential Equations with Non-Lipschitz Coefficients
  
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KeyWord:Existence and uniqueness; Stochastic fractional differential equations; Time-varying delays; Non-Lipschitz coefficients
Author NameAffiliation
Chengyun Long College of Mathematics and Statistics, Jishou University, Jishou, Hunan 416000, China 
Jingli Xie College of Mathematics and Statistics, Jishou University, Jishou, Hunan 416000, China 
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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.