Fixed points and exponential stability of stochastic functional partial differential equations driven by fractional Brownian motion

2015 ◽  
Vol 86 (3-4) ◽  
pp. 285-293 ◽  
Author(s):  
DEHAO RUAN ◽  
JIAOWAN LUO
Keyword(s):  
Brownian Motion ◽  
Partial Differential Equations ◽  
Differential Equations ◽  
Exponential Stability ◽  
Fixed Points ◽  
Fractional Brownian Motion ◽  
Partial Differential ◽  
Stochastic Functional

scholarly journals Stability of a Class of Impulsive Neutral Stochastic Functional Partial Differential Equations

2020 ◽  
Vol 2020 ◽  
pp. 1-12
Author(s):  
Yue Liu ◽  
Dehao Ruan
Keyword(s):  
Fixed Point ◽  
Brownian Motion ◽  
Partial Differential Equations ◽  
Fixed Point Theorem ◽  
Differential Equations ◽  
Exponential Stability ◽  
Partial Differential ◽  
The Fixed Point Theorem ◽  
Moment Exponential Stability ◽  
Stochastic Functional

In this paper, a class of impulsive neutral stochastic functional partial differential equations driven by Brownian motion and fractional Brownian motion is investigated. Under some suitable assumptions, the pth moment exponential stability is discussed by means of the fixed-point theorem. Our results also improve and generalize some previous studies. Moreover, one example is given to illustrate our main results.

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