Fourth Edition of the International Conference on Research in Applied Mathematics and Computer Science ICRAMCS 2022
 March 24-25-26, 2022
Online and Face-to-Face Conference

ICRAMCS, 4 (2022) | Proceedings ISSN: 2605-7700

Research Communication | Open Access
Volume 2022 | Communication ID 385
Solvability and exponential stability of impulsive neutral stochastic integro-differential systems driven by fractional Brownian motion with delay and Poisson jumps
Youssef Benkabdi, El Hassan Lakhel
Academic Editor: Youssef EL FOUTAYENI
Received
Accepted
Published
January 31, 2022
March 03, 2327
April 15, 2327

Abstract: In this manuscript, the existence, uniqueness, and asymptotic behavior of a class of impulsive neutral stochastic integro-differential systems driven by fractional Brownian motion in a separable Hilbert space with delay and Poisson jumps are studied. The results are obtained, using the theory of resolvent operator, stochastic analysis, and a fixed-point strategy. Finally, an illustrative example is provided to show the effectiveness of the obtained result.