Exponential stability of non-instantaneous impulsive second-order fractional neutral stochastic differential equations with state-dependent delay

DOI10.1016/J.CAM.2024.116012MaRDI QIDQ6581978

Ramkumar Kasinathan, Ravikumar Kasinathan, Dhanalakshmi Kasinathan, Dimplekumar N. Chalishajar

Publication date: 1 August 2024

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

stochastic differential equationexponential stabilityfractional calculusfixed point theoremstate-dependent delaynon-instantaneous impulsessemi-group theoryexistence of mild solution

Mathematics Subject Classification ID

Functional-differential equations with impulses (34K45) Fixed-point theorems (47H10) Functional-differential equations in abstract spaces (34K30) Stability theory of functional-differential equations (34K20) Stochastic functional-differential equations (34K50) Neutral functional-differential equations (34K40) Functional-differential equations with fractional derivatives (34K37) Functional-differential equations with state-dependent arguments (34K43)

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