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

Related Articles

Experimental Investigation of Emission Characteristic of Tert Butyl Alcohol and Gasoline Blend Using Two Stroke Si Engine

Internal combustion engine are the mostpreferred prime mover across the world. Spark ignition engine is preferred locomotive prime mover due to its smooth operation and low maintains. The gasoline is fossil fuel which is...

Neural Network for Pattern Classification

Neural Networks (NN) are the most active research and application in the field of pattern classification, using training and testing data to build a model. However, the success of the networks is highly dependent on the...

Runoff Estimation For Algadeer Alabyad Watershed In Jordan Using Rational Method And Geographic Information System

Jordan is characterized by severe weather conditions, therefore great temporal and spatial variations in rainfall, runoff and evaporation amounts are expected .This research aims to use GIS for investigating the potentia...

Multi-Purpose Robot using Raspberry Pi & Controlled by Smartphone

This paper proposes a method for controlling a Wireless robot for multi-purpose in the sense surveillance, rescue operations and weather reporting, human detection, geo-graphical location etc., Generally surveillance rob...

Basis for an effective climate change adaptation: Case small Mexican agriculture

Mexico is considered one of the world's most vulnerable countries to climate change effects. Its geographical location and climatic, orographic and hydrological conditions contribute considerably to this situation. The o...

Download PDF file
  • EP ID EP393681
  • DOI 10.9790/9622-0802010915.
  • Views 82
  • 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