Existence and Uniqueness of the solutions to Stochastic Neutral Functional Differential Equations Using Fractional Brownian motion with Non-Lipschitz Coefficients

Abstract

In this paper we investigate the existence and uniqueness of mild solutions to neutral stochastic functional differential equations driven by a Brownian motion in a Hilbert space with non-Lipschitzian coefficients. The results are obtained by using the method of successive approximation and generalize the results that were reported by Bao and Hou[1].

Authors and Affiliations

C. Loganathan, P. Selvanayaki

Keywords

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  • EP ID EP393681
  • DOI 10.9790/9622-0802010915.
  • Views 99
  • Downloads 0

How To Cite

C. Loganathan, P. Selvanayaki (2018). Existence and Uniqueness of the solutions to Stochastic Neutral Functional Differential Equations Using Fractional Brownian motion with Non-Lipschitz Coefficients. International Journal of engineering Research and Applications, 8(1), 9-15. https://europub.co.uk/articles/-A-393681