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[PDF] Top 20 Stochastic delay evolution equations driven by sub fractional Brownian motion

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Stochastic delay evolution equations driven by sub fractional Brownian motion

Stochastic delay evolution equations driven by sub fractional Brownian motion

... ther a semimartingale nor a Markov process when H =   . The fBm is a suitable generaliza- tion of the standard Brownian motion, but exhibits long-range dependence, self-similarity and which has stationary ... See full document

17

Stability of delayed impulsive stochastic differential equations driven by a fractional Brown motion with time varying delay

Stability of delayed impulsive stochastic differential equations driven by a fractional Brown motion with time varying delay

... impulsive stochastic differential equations driven by a fractional Brown motion with finite time-varying ...the fractional Brown motion belongs to ( 1 2 , ...of ... See full document

23

Exponential stability behavior of neutral stochastic integrodifferential equations with fractional Brownian motion and impulsive effects

Exponential stability behavior of neutral stochastic integrodifferential equations with fractional Brownian motion and impulsive effects

... a fractional Brownian motion (fBm) is a Gaussian stochastic process, which varies pointedly from semimartingales and a standard Brownian motion to other processes usually ... See full document

20

Periodic averaging method for impulsive stochastic dynamical systems driven by fractional Brownian motion under non Lipschitz condition

Periodic averaging method for impulsive stochastic dynamical systems driven by fractional Brownian motion under non Lipschitz condition

... differential equations to autonomous differential ...about stochastic averaging for dynamic problems with Gaussian random perturba- tion [17–19], Poisson noise [20, 21], Lévy motion [22–25], ... See full document

15

Mean square Hyers Ulam stability of stochastic differential equations driven by Brownian motion

Mean square Hyers Ulam stability of stochastic differential equations driven by Brownian motion

... order stochastic differential equations is studied by using the Ito ...order stochastic differential equations with constant coefficients by the substitution ...order stochastic differential ... See full document

12

Boundary controllability of nonlocal Hilfer fractional stochastic differential systems with fractional Brownian motion and Poisson jumps

Boundary controllability of nonlocal Hilfer fractional stochastic differential systems with fractional Brownian motion and Poisson jumps

... control. Fractional Brownian motion (fBm) is for a family of Gaussian processes that is indexed by the Hurst parameter H ∈ (0, 1) (see ...standard Brownian motion, in particular it is ... See full document

23

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 ... See full document

18

Existence and exponential stability in the pth moment for impulsive neutral stochastic integro differential equations driven by mixed fractional Brownian motion

Existence and exponential stability in the pth moment for impulsive neutral stochastic integro differential equations driven by mixed fractional Brownian motion

... Gaussian stochastic process, fractional Brownian motion heavily relies on the Hurst index H ∈ (0, 1) introduced by Kolmogorov [27], it is an effective tool in modelling many stochastic ... See full document

19

Global Uniqueness Result for Functional Differential Equations Driven by a Wiener Process and Fractional Brownian Motion

Global Uniqueness Result for Functional Differential Equations Driven by a Wiener Process and Fractional Brownian Motion

... mixed stochastic functional differential equation driven by a Wiener process and fractional Brownian motion with Hurst index H > ... See full document

15

Cylindrical fractional Brownian motion in Banach spaces

Cylindrical fractional Brownian motion in Banach spaces

... related stochastic integration ...spaces driven by cylindrical Liouville ...an evolution equation driven by a fractional Brownian motion is considered by Balan in ...a ... See full document

31

On boundedness and convergence of solutions for neutral stochastic functional differential equations driven by G Brownian motion

On boundedness and convergence of solutions for neutral stochastic functional differential equations driven by G Brownian motion

... Several stochastic dynamical systems not only rely on current and past values but also include derivatives with ...Neutral stochastic functional differential equations (NSFDEs) are employed to express ... See full document

16

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

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

... Let (, F, P) be a complete probability space. SDEs with respect to fBm have been in- terpreted via various stochastic integrals, such as the Wick integral, the Wiener integral, the Skorohod integral, and path-wise ... See full document

15

Exponential stability for neutral stochastic functional partial differential equations driven by Brownian motion and fractional Brownian motion

Exponential stability for neutral stochastic functional partial differential equations driven by Brownian motion and fractional Brownian motion

... The rest of this paper is organized as follows. In Sect. 2, we first recall some necessary preliminaries on the stochastic differential equations with respect to Brownian motion and ... See full document

15

Nonlocal stochastic integro differential equations driven by fractional Brownian motion

Nonlocal stochastic integro differential equations driven by fractional Brownian motion

... for stochastic evolution equations with nonlocal ...of stochastic differential equations with nonlocal conditions are valid only for the Lipschitz or compact assumptions on nonlocal ... See full document

14

Attracting and quasi invariant sets of neutral stochastic integro differential equations with impulses driven by fractional Brownian motion

Attracting and quasi invariant sets of neutral stochastic integro differential equations with impulses driven by fractional Brownian motion

... The paper is devoted to investigating a class of neutral stochastic integro-differential equations with impulses driven by fractional Brownian motion. By establishing two new ... See full document

15

Nonlocal fractional stochastic differential equations driven by fractional Brownian motion

Nonlocal fractional stochastic differential equations driven by fractional Brownian motion

... The main purpose of this paper is to study the existence of mild solutions of system (). To the best of our knowledge, the validation of many existence results of stochastic differ- ential equations with ... See full document

16

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

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

... Sobolev-type fractional neutral stochastic differential equations driven by fractional Brownian motion with infinite delay in a Hilbert ...theorem, ... See full document

15

Dynamic demand and mean-field games

Dynamic demand and mean-field games

... the stochastic case, characterized by a stochastic disturbance in the form of a Brownian motion in the microscopic ...the stochastic disturbance expires in a neighborhood of the ...the ... See full document

13

Strong Local Non Determinism of Sub Fractional Brownian Motion

Strong Local Non Determinism of Sub Fractional Brownian Motion

... The fractional Brownian motion (fBm for short) is the best known and most used process with long-dependence property for models in telecommunications, turbulence, image processing and ...as ... See full document

6

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

... The 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 ... See full document

16

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