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Almost automorphic solutions for mean-field stochastic differential equations driven by fractional Brownian motion

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Abstract This paper concerns a class of mean field stochastic differential equations driven by fractional Brownian motion with Hurst parameter . The existence and uniqueness of almost automorphic solutions in… Click to show full abstract

Abstract This paper concerns a class of mean field stochastic differential equations driven by fractional Brownian motion with Hurst parameter . The existence and uniqueness of almost automorphic solutions in distribution of mean field stochastic differential equations driven by fractional Brownian motion are established provided coefficients of equations satisfy some suitable conditions.

Keywords: mean field; stochastic differential; driven fractional; field stochastic; equations driven; differential equations

Journal Title: Stochastic Analysis and Applications
Year Published: 2019

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