Geodesic
Exponential stability of delayed neutral impulsive stochastic integro-differential systems perturbed by fractional Brownian motion and Poisson jumps
Filomat, Tome 37 (2023) no. 26, p. 8829

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DOI

In this manuscript, we investigate the existence, uniqueness, and exponential stability of a delayed neutral impulsive stochastic integro-differential equation driven by fractional Brownian motion in a separable Hilbert space and Poisson jumps. The results are obtained, using the theory of resolvent operators, stochastic analysis, and a fixed-point technique. Lastly, an example is provided to show the validity of the obtained results.
DOI : 10.2298/FIL2326829B
Classification : 35B35, 35R10, 60G22, 60H15, 60J76
Keywords: Neutral stochastic functional integro-differential equations, exponential stability, fractional Brownian motion, Resolvent operator, Poisson jumps 
Youssef Benkabdi; El Hassan Lakhel. Exponential stability of delayed neutral impulsive stochastic integro-differential systems perturbed by fractional Brownian motion and Poisson jumps. Filomat, Tome 37 (2023) no. 26, p. 8829 . doi: 10.2298/FIL2326829B
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     author = {Youssef Benkabdi and El Hassan Lakhel},
     title = {Exponential stability of delayed neutral impulsive stochastic integro-differential systems perturbed by fractional {Brownian} motion and {Poisson} jumps},
     journal = {Filomat},
     pages = {8829 },
     year = {2023},
     volume = {37},
     number = {26},
     doi = {10.2298/FIL2326829B},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2326829B/}
}
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