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June 13, 2026Fractal and FractionalOpen Access

Almost Automorphic Solutions in Distribution for McKean–Vlasov SDEs Driven by Fractional Brownian Motion

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Authors

RSRui SunSWShuo WangYYYanyan Yu

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Overview

Randomized trial analyzes almost automorphic solutions in McKean-Vlasov SDEs, highlighting their practical use in stochastic equations.

Key Points

  • To establish the existence and uniqueness of almost automorphic solutions for McKean–Vlasov SDEs driven by fractional Brownian motion.
  • Proved existence and uniqueness under specific conditions on coefficients.
  • Analyzed a stochastic heat equation on a bounded domain to illustrate practical relevance.
  • Established conditions necessary for the existence of solutions.
  • Demonstrated unique almost automorphic solutions in the specified framework.

Cite This Study

Sun et al. (2026) studied this question.

synapsesocial.com/papers/6a2cf701faef96ed7f0588f6https://doi.org/10.3390/fractalfract10060399
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