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