Ulam-Hyers stability of Caputo type fractional stochastic neutral differential equations

DOI10.1016/j.spl.2020.108949zbMath1458.34011OpenAlexW3088738036WikidataQ115341075 ScholiaQ115341075MaRDI QIDQ826691

Nazim Idris Mahmudov, Arzu Ahmadova

Publication date: 6 January 2021

Published in: Statistics \& Probability Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.spl.2020.108949

zbMATH Keywords

Mittag-Leffler functionUlam-Hyers stabilityCaputo fractional differential operatorItô's isometrystochastic neutral differential equation

Mathematics Subject Classification ID

Brownian motion (60J65) Implicit ordinary differential equations, differential-algebraic equations (34A09) Perturbations of ordinary differential equations (34D10) Ordinary differential equations and systems with randomness (34F05) Fractional ordinary differential equations (34A08)

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Cites Work

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• Existence and uniqueness results for a class of fractional stochastic neutral differential equations
• Hyers-Ulam stability and existence of solutions for fractional differential equations with Mittag-Leffler kernel
• Controllability and stability of fractional stochastic functional systems driven by Rosenblatt process
• Ulam-Hyers stability of dynamic equations on time scales via Picard operators
• Stochastic fractional differential equations: modeling, method and analysis
• Existence and Uniqueness Results for Neutral SDEs in Hilbert Spaces

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