Research Communication | Open Access
Volume 2020 | Communication ID 31 |

Controllability of semilinear stochastic impulsive functional differential equations driven by FBM with infinite delay

Ahmed Lahmoudi, El Hassan Lakhel
Academic Editor: Youssef EL FOUTAYENI
Received
Accepted
Published
28 November 2019
13 December 2019
10 March 2020

Abstract: This work concerns the study of the controllability for impulsive stochasticfunctional differential equations with infinite delay driven by fractional Brownian motionin a real separable Hilbert space. The controllability results are obtained using stochasticanalysis and a fixed-point strategy. Finally, an illustrative example is provided to demonstrate the effectiveness of the theoretical result.