EULER SCHEME FOR FRACTIONAL DELAY STOCHASTIC DIFFERENTIAL EQUATIONS BY ROUGH PATHS TECHNIQUES

Garzón, J., Tindel, S., Torres, S.

Keywords: fractional brownian motion, stochastic differential equations, rough paths, discrete time approximations

Abstract

In this note, we study a discrete time approximation for the solution of a class of delayed stochastic differential equations driven by a fractional Brownian motion with Hurst parameter H ∈ (1/2, 1). In order to prove convergence, we use rough paths techniques. Theoretical bounds are established and numerical simulations are displayed.

Más información

Título de la Revista: ACTA MATHEMATICA SCIENTIA
Volumen: 39B
Número: 3
Editorial: Elsevier Science Inc.
Fecha de publicación: 2019
Página de inicio: 1
Página final: 17