Weak approximation of a fractional SDE
نویسندگان
چکیده
منابع مشابه
Weak Approximation of a Fractional Sde
Abstract. In this note, a diffusion approximation result is shown for stochastic differential equations driven by a (Liouville) fractional Brownian motion B with Hurst parameter H ∈ (1/3, 1/2). More precisely, we resort to the Kac-Stroock type approximation using a Poisson process studied in [4, 7], and our method of proof relies on the algebraic integration theory introduced by Gubinelli in [13].
متن کاملWeak Approximation of a Fractional Sde
After a decade of efforts [2, 5, 9, 15, 16, 20, 21], it can arguably be said that the basis of the stochastic integration theory with respect to a rough path in general, and with respect to a fractional Brownian motion (fBm in the sequel) in particular, has been now settled in a rather simple and secure way. This allows in particular to define rigorously and solve equations on an arbitrary inte...
متن کاملA weak approximation for the Extrema's distributions of Levy processes
Suppose that $X_{t}$ is a one-dimensional and real-valued L'evy process started from $X_0=0$, which ({bf 1}) its nonnegative jumps measure $nu$ satisfying $int_{Bbb R}min{1,x^2}nu(dx)
متن کاملA fractional type of the Chebyshev polynomials for approximation of solution of linear fractional differential equations
In this paper we introduce a type of fractional-order polynomials based on the classical Chebyshev polynomials of the second kind (FCSs). Also we construct the operational matrix of fractional derivative of order $ gamma $ in the Caputo for FCSs and show that this matrix with the Tau method are utilized to reduce the solution of some fractional-order differential equations.
متن کاملa fractional type of the chebyshev polynomials for approximation of solution of linear fractional differential equations
in this paper we introduce a type of fractional-order polynomials basedon the classical chebyshev polynomials of the second kind (fcss). also we construct the operationalmatrix of fractional derivative of order $ gamma $ in the caputo for fcss and show that this matrix with the tau method are utilized to reduce the solution of some fractional-order differential equations.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Stochastic Processes and their Applications
سال: 2010
ISSN: 0304-4149
DOI: 10.1016/j.spa.2009.10.008