A new hybrid approach for nonlinear stochastic differential equations driven by multifractional Gaussian noise
DOI10.1002/MMA.9265zbMath1528.60057OpenAlexW4362608593MaRDI QIDQ6137323
Tahereh Eftekhari, Jalil Rashidinia
Publication date: 18 January 2024
Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1002/mma.9265
convergence analysisstochastic operational matrixgeneralized hat functionsoperational vectorhybrid of block-pulse functions and shifted Legendre polynomialsmultifractional Gaussian noise
Fractional processes, including fractional Brownian motion (60G22) Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Stability and convergence of numerical methods for ordinary differential equations (65L20)
Cites Work
- Legendre wavelets Galerkin method for solving nonlinear stochastic integral equations
- A new numerical algorithm to solve fractional differential equations based on operational matrix of generalized hat functions
- Synthesis of multifractional Gaussian noises based on variable-order fractional operators
- Fractional processes and fractional-order signal processing. Techniques and applications
- An efficient computational method for solving nonlinear stochastic Itô integral equations: application for stochastic problems in physics
- Numerical solution of three-dimensional Volterra-Fredholm integral equations of the first and second kinds based on Bernstein's approximation
- Asymptotic properties of the 2D stochastic fractional Boussinesq equations driven by degenerate noise
- Existence, uniqueness, and approximate solutions for the general nonlinear distributed-order fractional differential equations in a Banach space
- Operational matrices based on hybrid functions for solving general nonlinear two-dimensional fractional integro-differential equations
- Chebyshev cardinal wavelets and their application in solving nonlinear stochastic differential equations with fractional Brownian motion
- Chebyshev cardinal wavelets for nonlinear stochastic differential equations driven with variable-order fractional Brownian motion
- Time-varying long-range dependence in US interest rates
- A novel operational vector for solving the general form of distributed order fractional differential equations in the time domain based on the second kind Chebyshev wavelets
- A novel and efficient operational matrix for solving nonlinear stochastic differential equations driven by multi-fractional Gaussian noise
- A new and efficient approach for solving linear and nonlinear time-fractional diffusion equations of distributed order
- Wavelets Galerkin method for solving stochastic heat equation
- THE LOCAL STRUCTURE OF RANDOM PROCESSES
- Integration and differentiation to a variable fractional order
- MULTIFRACTIONAL STOCHASTIC VOLATILITY MODELS
- Some approximation results for mild solutions of stochastic fractional order evolution equations driven by Gaussian noise
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