The existence and Hyers-Ulam stability of solution for almost periodical fractional stochastic differential equation with fBm

DOI10.1080/07362994.2020.1824677zbMath1484.34021OpenAlexW3092219476WikidataQ115297218 ScholiaQ115297218MaRDI QIDQ5155319

Xiao-Bao Shu, Fei Xu, Yu-Chen Guo, Mengqi Chen

Publication date: 6 October 2021

Published in: Stochastic Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/07362994.2020.1824677

zbMATH Keywords

Hyers-Ulam stabilityMönch fixed point theoremFractional Brownian motionHausdorff measure of noncompactnessimpulse fractional stochastic differential equation

Mathematics Subject Classification ID

Fractional processes, including fractional Brownian motion (60G22) Ordinary differential equations with impulses (34A37) Nonlinear differential equations in abstract spaces (34G20) Perturbations of ordinary differential equations (34D10) Ordinary differential equations and systems with randomness (34F05) Applications of operator theory to differential and integral equations (47N20) Fractional ordinary differential equations (34A08)

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