Existence theory and stability analysis of neutral ψ–Hilfer fractional stochastic differential system with fractional noises and non-instantaneous impulses

Existence theory and stability analysis of neutral ψ–Hilfer fractional stochastic differential system with fractional noises and non-instantaneous impulses

In this article, with the help of Laplace transform, the existence of solution was established in a finite dimensional setting for nonlinear $ \psi $-Hilfer fractional stochastic equation with both retarded and advanced arguments driven by multiplicative and fractional noises, with Hurst index $ H \...

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Bibliographic Details
Main Authors: Yanli Ma, Hamza Khalil, Akbar Zada, Ioan-Lucian Popa
Format: Article
Language:English
Published: AIMS Press 2024-02-01
Series:AIMS Mathematics
Subjects:
neutral
existence and uniqueness
stochastic equation
retarded and advanced arguments
ulam's stability
Online Access:https://www.aimspress.com/article/doi/10.3934/math.2024396?viewType=HTML

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https://www.aimspress.com/article/doi/10.3934/math.2024396?viewType=HTML

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