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The averaging principle of Atangana–Baleanu fractional stochastic integro-differential systems with delay

  • Rajesh Dhayal,
  • Quanxin Zhu

摘要

This paper is devoted to exploring a new class of Atangana–Baleanu fractional stochastic integro-differential systems driven by Brownian motion with delay. We analyze the averaging principle for the solution of the proposed system by using the fractional calculus, Cauchy–Schwarz inequality, and Jensen’s inequality. Moreover, our results are illustrated by an example.