An approximate approach to fuzzy stochastic differential equations under sub-fractional Brownian motion

DOI10.1142/s021949372350017xzbMath1524.60010WikidataQ117219362 ScholiaQ117219362MaRDI QIDQ6171132

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Publication date: 17 July 2023

Published in: Stochastics and Dynamics (Search for Journal in Brave)

zbMATH Keywords

stochastic differential equationfuzzy setssub-fractional Brownian motionfuzzy stochastic integralPicard's iteration method

Mathematics Subject Classification ID

Fractional processes, including fractional Brownian motion (60G22) Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Numerical solutions to stochastic differential and integral equations (65C30) Fuzzy probability (60A86)

Cites Work

• Unnamed Item
• Unnamed Item
• A geometric Lévy model for \(n\)-fold compound option pricing in a fuzzy framework
• Stochastic integration with respect to the sub-fractional Brownian motion with
• Itô type stochastic fuzzy differential equations with delay
• Some properties of strong solutions to stochastic fuzzy differential equations
• Measurability for fuzzy valued functions
• Inner product spaces of integrands associated to subfractional Brownian motion
• Stochastic delay evolution equations driven by sub-fractional Brownian motion
• Computing option price for Lévy process with fuzzy parameters
• Integrals, conditional expectations, and martingales of multivalued functions
• Stochastic calculus with respect to fractional Brownian motion with Hurst parameter lesser than 1/2
• Pricing European options based on the fuzzy pattern of Black-Scholes formula.
• Sub-fractional Brownian motion and its relation to occupation times
• The valuation of European options in uncertain environment
• Strong solutions to stochastic fuzzy differential equations of Itô type
• An approximate approach to fractional analysis for finance
• On the Wiener integral with respect to a sub-fractional Brownian motion on an interval
• Fuzzy stochastic differential equations driven by fractional Brownian motion
• ON FUZZY STOCHASTIC DIFFERENTIAL EQUATIONS
• Fractional Brownian Motions, Fractional Noises and Applications
• Fuzzy random variables