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[PDF] Top 20 Multiple G Stratonovich Integral Driven by G Brownian Motion

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Multiple G Stratonovich Integral Driven by G Brownian Motion

Multiple G Stratonovich Integral Driven by G Brownian Motion

... function g of BSDE, which is named g ...ying, g -expectation has become a powerful tool for studying recursive utility theory and financial risk measurement [2] [3] ...of g -expectation can be ... See full document

7

A new proof of fractional Hu Meyer formula and its applications

A new proof of fractional Hu Meyer formula and its applications

... fractional Brownian motion with the Hurst parameter less than ...the multiple Stratonovich integral, and the proof is different from the known ...the multiple fractional ... See full document

12

Stochastic modified Boussinesq approximate equation driven by fractional Brownian motion

Stochastic modified Boussinesq approximate equation driven by fractional Brownian motion

... The rest of the paper is organized as follows: In Section , we present the function space and operators. Then the definitions and criteria for the random dynamical system are presented. In Section , we introduce the ... See full document

21

On the non Lipschitz stochastic differential equations driven by fractional Brownian motion

On the non Lipschitz stochastic differential equations driven by fractional Brownian motion

... (SDEs) driven by fractional Brownian motion (fBm) with the Hurst parameter H ∈ ( 1 2 , ...stochastic integral with respect to fBm is no longer a martingale, we definitely lost good inequalities ... See full document

15

Nonlocal fractional stochastic differential equations driven by fractional Brownian motion

Nonlocal fractional stochastic differential equations driven by fractional Brownian motion

... Differential equations involving fractional derivatives in time are more realistic to describe many phenomena in practical cases than those of integer order in time. Fractional differ- ential equations therefore have ... See full document

16

Coupling polynomial Stratonovich integrals : the two dimensional Brownian case

Coupling polynomial Stratonovich integrals : the two dimensional Brownian case

... processes driven by low dimensional Brownian motions”, which suggests that the goal of producing successful Markovian couplings of such diffusions may be best achieved by learning how to produce Markovian ... See full document

45

Stochastic delay evolution equations driven by sub fractional Brownian motion

Stochastic delay evolution equations driven by sub fractional Brownian motion

... Thus, Kolmogorov’s continuity criterion implies that sub-fBm is Hölder continuous of order γ for any γ < H on any finite interval. Therefore, if u is a stochastic process with Hölder continuous trajectories of order β ... See full document

17

Some Important Properties of Multiple G Itô Integral in the G Expectation Space

Some Important Properties of Multiple G Itô Integral in the G Expectation Space

... Our future efforts will focus on introducing the properties of Stratonovich integral driven by multi-dimensional G-Brownian motion, and exploring the relationship between Stratonovich in[r] ... See full document

8

An approximation to the subfractional Brownian sheet using martingale differences

An approximation to the subfractional Brownian sheet using martingale differences

... subfractional Brownian motion has been studied since the works of Del- gado and Jolis ...subfractional Brownian motion by means of transport ...the Stratonovich integral with ... See full document

9

Controllability of a Stochastic Neutral Functional Differential Equation Driven by a fBm

Controllability of a Stochastic Neutral Functional Differential Equation Driven by a fBm

... • The functions G , f and σ are Borel functions with some suitable conditions. The paper is organized as follows. In Section 2, we represent some preliminaries for stochastic integral of fractional ... See full document

15

The Petrov-Galerkin Method for Numerical Solution of Stochastic Volterra Integral Equations

The Petrov-Galerkin Method for Numerical Solution of Stochastic Volterra Integral Equations

... The Petrov-Galerkin method is a numerical method based on Galerkin method but with different trial and test spaces. This method has been used for approximation of the numeri- cal solution of Fredholm second kind ... See full document

7

Nonlocal stochastic integro differential equations driven by fractional Brownian motion

Nonlocal stochastic integro differential equations driven by fractional Brownian motion

... the infinite-dimensional framework, stochastic differential equations with nonlocal con- ditions driven by Brownian motion (i.e., the case H =   ) have received a lot of attention during the last ... See full document

14

Large deviation principle for the mean reflected stochastic differential equation with jumps

Large deviation principle for the mean reflected stochastic differential equation with jumps

... standard Brownian motion independent of N. The integral of the function h with re- spect to the law of the solution to the SDE is asked to be ... See full document

15

Parameter estimation for nonergodic Ornstein Uhlenbeck process driven by the weighted fractional Brownian motion

Parameter estimation for nonergodic Ornstein Uhlenbeck process driven by the weighted fractional Brownian motion

... fractional Brownian motion (fBm for short) has already been widely applied in hydrol- ogy, traffic volume prediction, estimation of Hurst exponent of seismic signal, finance, and various other areas due to its ... See full document

16

Dynamic demand and mean-field games

Dynamic demand and mean-field games

... a Brownian motion in the microscopic ...the Brownian motion coefficients linear in the ...nian motion. As for any geometric Brownian motion, we can study conditions for it ... See full document

13

Lack of strong completeness for stochastic flows

Lack of strong completeness for stochastic flows

... into Stratonovich, then the SDE is strongly ...a Stratonovich equation are smooth and of linear growth, and all vector fields com- mute, then the SDE is strongly complete since the solution can be ... See full document

16

Brownian motion and Levy processes on locally compact groups

Brownian motion and Levy processes on locally compact groups

... 2. In a series of recent papers, Bendikov and Saloff-Coste have obtained important new results about Brownian motion on compact groups, see e.g. [9] for studies of sample path regularity, and [8] for ... See full document

17

Fixed point theorems for integral G-contractions

Fixed point theorems for integral G-contractions

... an integral G-contraction not only generalizes/extends the notion of a Ba- nach G-contraction, but it also improves the integral inequality ...sub-integral G-contraction ... See full document

11

Controllability of a stochastic functional differential equation driven by a fractional Brownian motion

Controllability of a stochastic functional differential equation driven by a fractional Brownian motion

... of Brownian motion, fractional Brownian motion (fBm) is a self- similar Gaussian processes which have the properties of long/short-range ...with Brownian motion, the process is ... See full document

18

Convergence to a self-normalized G-Brownian motion

Convergence to a self-normalized G-Brownian motion

... of G-Brownian motion is that its quadratic variation pro- cess is also a continuous process with independent and stationary increments, and thus can still be regarded as a Brownian ... See full document

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