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

DOI10.1007/S41478-024-00823-3MaRDI QIDQ6660774

Quanxin Zhu, Rajesh Dhayal

Publication date: 10 January 2025

Published in: The Journal of Analysis (Search for Journal in Brave)

zbMATH Keywords

delayaveraging principle\(m\)-dimensional Brownian motionAtangana-Baleanu fractional systems

Mathematics Subject Classification ID

Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Stochastic functional-differential equations (34K50) Functional-differential equations with fractional derivatives (34K37) Averaging for functional-differential equations (34K33)

Cites Work

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• An averaging principle for stochastic fractional differential equations with time-delays
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• The averaging principle of Hilfer fractional stochastic delay differential equations with Poisson jumps
• An averaging result for impulsive fractional neutral stochastic differential equations
• A novel result on averaging principle of stochastic Hilfer-type fractional system involving non-Lipschitz coefficients
• Numerical approximation of Riemann‐Liouville definition of fractional derivative: From Riemann‐Liouville to Atangana‐Baleanu
• Optimal controls for second‐order stochastic differential equations driven by mixed‐fractional Brownian motion with impulses
• Averaging principle for impulsive stochastic partial differential equations
• Optimal controls of impulsive fractional stochastic differential systems driven by Rosenblatt process with state-dependent delay
• Approximate controllability of Atangana-Baleanu fractional stochastic differential systems with non-Gaussian process and impulses

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