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 |