Wong-Zakai approximation of stochastic Volterra integral equations

Document Type : Research Paper

Author

Razi university Razi University

Abstract

This study aims to investigate a stochastic Volterra integral equation driven by fractional Brownian motion with Hurst parameter $H\in (\frac 12, 1)$. We employ the Wong-Zakai approximation to simplify this intricate problem, transforming the stochastic integral equation into an ordinary integral equation. Moreover, we consider the convergence and the rate of convergence of the Wong-Zakai approximation for this kind of equation.

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Main Subjects



Articles in Press, Accepted Manuscript
Available Online from 27 December 2023
  • Receive Date: 02 October 2023
  • Revise Date: 06 December 2023
  • Accept Date: 26 December 2023