scholarly journals Existence of solutions and approximate controllability of impulsive fractional stochastic differential systems with infinite delay and Poisson jumps

2015 ◽  
Vol 60 (4) ◽  
pp. 395-419 ◽  
Author(s):  
Chinnathambi Rajivganthi ◽  
Krishnan Thiagu ◽  
Palanisamy Muthukumar ◽  
Pagavathigounder Balasubramaniam
Keyword(s):  
Approximate Controllability ◽  
Existence Of Solutions ◽  
Infinite Delay ◽  
Poisson Jumps ◽  
Differential Systems ◽  
Fractional Stochastic Differential Systems

scholarly journals Approximate Controllability of Fractional Neutral Evolution Equations in Banach Spaces

2013 ◽  
Vol 2013 ◽  
pp. 1-11 ◽  
Author(s):  
N. I. Mahmudov
Keyword(s):  
Fixed Point ◽  
Approximate Controllability ◽  
Evolution Equations ◽  
Infinite Delay ◽  
Sufficient Conditions ◽  
Neutral Evolution ◽  
Differential Systems ◽  
Neutral Differential Equations ◽  
Approximately Controllable ◽  
Fractional Neutral Evolution Equations

We discuss the approximate controllability of semilinear fractional neutral differential systems with infinite delay under the assumptions that the corresponding linear system is approximately controllable. Using Krasnoselkii's fixed-point theorem, fractional calculus, and methods of controllability theory, a new set of sufficient conditions for approximate controllability of fractional neutral differential equations with infinite delay are formulated and proved. The results of the paper are generalization and continuation of the recent results on this issue.

scholarly journals Controllability of impulsive neutral stochastic integro-differential systems driven by fractional Brownian motion with delay and Poisson jumps

2021 ◽  
Author(s):  
Youssef Benkabdi ◽  
Lakhel El Hassan
Keyword(s):  
Hilbert Space ◽  
Fixed Point ◽  
Brownian Motion ◽  
Fractional Brownian Motion ◽  
Stochastic Analysis ◽  
Separable Hilbert Space ◽  
Infinite Delay ◽  
Poisson Jumps ◽  
Differential Systems ◽  
Controllability Result

In this paper the controllability of a class of impulsive neutral stochastic integro-differential systems driven by fractional Brownian motion and Poisson process in a separable Hilbert space with infinite delay is studied. The controllability result is obtained by using stochastic analysis and a fixed-point strategy. Finally, an illustrative example is given to demonstrate the effectiveness of the obtained result.

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