Ergodicity and Stationary Solution for Stochastic Neutral Retarded Partial Differential Equations Driven by Fractional Brownian Motion

2018 ◽  
Vol 32 (3) ◽  
pp. 1399-1419 ◽  
Author(s):  
Zhi Li ◽  
Litan Yan
Keyword(s):  
Brownian Motion ◽  
Partial Differential Equations ◽  
Differential Equations ◽  
Fractional Brownian Motion ◽  
Stationary Solution ◽  
Partial Differential

scholarly journals The Existence, Uniqueness, and Controllability of Neutral Stochastic Delay Partial Differential Equations Driven by Standard Brownian Motion and Fractional Brownian Motion

2018 ◽  
Vol 2018 ◽  
pp. 1-11 ◽  
Author(s):  
Dehao Ruan ◽  
Jiaowan Luo
Keyword(s):  
Fixed Point ◽  
Brownian Motion ◽  
Partial Differential Equations ◽  
Differential Equations ◽  
Fractional Brownian Motion ◽  
Fixed Point Method ◽  
Standard Brownian Motion ◽  
Partial Differential ◽  
Stochastic Delay ◽  
Delay Partial Differential Equations

We focus on a class of neutral stochastic delay partial differential equations perturbed by a standard Brownian motion and a fractional Brownian motion. Under some suitable assumptions, the existence, uniqueness, and controllability results for these equations are investigated by means of the Banach fixed point method. Moreover, an example is presented to illustrate our main results.

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