Boundedness and convergence analysis of stochastic differential equations with Hurst Brownian motion

Davood Ahmadian, Omid Farkhondeh Rouz
2019 Boletim da Sociedade Paranaense de Matemática  
In this paper, we discuss about the boundedness and convergence analysis of the fractional Brownian motion (FBM) with Hurst parameter H. By the simple analysis and using the mean value theorem for stochastic integrals we conclude that in case of decreasing diffusion function, the solution of FBM is bounded for any H ∈ (0,1). Also, we derive the convergence rate which shows efficiency and accuracy of the computed solutions.
doi:10.5269/bspm.v38i5.38313 fatcat:vwzi7tvmlrhj3c57ek5y5ajflu