Existence of solutions for fractional impulsive neutral functional differential equations driven by fractional Brownian motion (Q2090568)
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scientific article; zbMATH DE number 7606809
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Existence of solutions for fractional impulsive neutral functional differential equations driven by fractional Brownian motion |
scientific article; zbMATH DE number 7606809 |
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Existence of solutions for fractional impulsive neutral functional differential equations driven by fractional Brownian motion (English)
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25 October 2022
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The authors consider a class of fractional impulsive neutral stochastic functional differential equations with infinite delay driven by a fractional Brownian motion in a real separable Hilbert space in this work. The theory of stochastic analysis, fractional calculus, a semigroup of operators and Krasnoselskii's fixed point theorem are used to obtain the existence of mild solutions to fractional impulsive neutral functional stochastic differential equations driven by a fractional Brownian motion.
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stochastic fractional impulsive differential equations
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fractional powers of operators
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infinite delay
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fractional Brownian motion
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