The existence and Hyers-Ulam stability of solution for an impulsive Riemann-Liouville fractional neutral functional stochastic differential equation with infinite delay of order \(1<\beta<2\)

DOI10.1186/S13661-019-1172-6OpenAlexW2936821345MaRDI QIDQ2108266

Fei Xu, Xiao-Bao Shu, Yongjin Li, Yu-Chen Guo

Publication date: 19 December 2022

Published in: Boundary Value Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13661-019-1172-6

zbMATH Keywords

stochastic differential equationHyers-Ulam stabilityHausdorff measure of noncompactnessMönch's fixed point theoremimpulsive Riemann-Liouville fractional differential equation

Mathematics Subject Classification ID

Functional-differential equations (including equations with delayed, advanced or state-dependent argument) (34Kxx) Boundary value problems for ordinary differential equations (34Bxx) General theory for ordinary differential equations (34Axx)

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