Approximate Controllability for Time-dependent Impulsive Neutral Stochastic Partial Differential Equations with Fractional Brownian Motion and Poisson Jumps

2021 ◽  
Vol 10 (2) ◽  
pp. 227-235
Author(s):  
K. Ramkumar ◽  
K. Ravikumar ◽  
A. Anguraj
Keyword(s):  
Brownian Motion ◽  
Partial Differential Equations ◽  
Differential Equations ◽  
Fractional Brownian Motion ◽  
Stochastic Partial Differential Equations ◽  
Approximate Controllability ◽  
Time Dependent ◽  
Poisson Jumps ◽  
Partial Differential

scholarly journals Approximate controllability for time-dependent impulsive neutral stochastic partial differential equations with memory

Filomat ◽  
2017 ◽  
Vol 31 (11) ◽  
pp. 3433-3442 ◽  
Author(s):  
Diem Huan ◽  
Ravi Agarwal ◽  
Hongjun Gao
Keyword(s):  
Partial Differential Equations ◽  
Differential Equations ◽  
Stochastic Partial Differential Equations ◽  
Approximate Controllability ◽  
Semigroup Theory ◽  
Sufficient Conditions ◽  
Time Dependent ◽  
Nonlinear Stochastic System ◽  
Partial Differential ◽  
With Memory

We establish results concerning the approximate controllability for time-dependent impulsive neutral stochastic partial differential equations with memory in Hilbert spaces. By using semigroup theory, stochastic analysis techniques and fixed point approach, we derive a new set of sufficient conditions for the approximate controllability of nonlinear stochastic system under the assumption that the corresponding linear system is approximately controllable. Further, the above results are generalized to cover a class of much more general impulsive neutral stochastic delay partial differential equations driven by L?vy noise in infinite dimensions. Finally, an example is provided to illustrate our results.

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