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Numerical solution of nonlinear stochastic differential equations with fractional Brownian motion using fractional-order Genocchi deep neural networks - MaRDI portal

Numerical solution of nonlinear stochastic differential equations with fractional Brownian motion using fractional-order Genocchi deep neural networks (Q6058729)

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scientific article; zbMATH DE number 7758918

Language	Label	Description	Also known as
English	Numerical solution of nonlinear stochastic differential equations with fractional Brownian motion using fractional-order Genocchi deep neural networks	scientific article; zbMATH DE number 7758918

Statements

scholarly article

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Numerical solution of nonlinear stochastic differential equations with fractional Brownian motion using fractional-order Genocchi deep neural networks (English)

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Parisa Rahimkhani

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Communications in Nonlinear Science and Numerical Simulation

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publication date

1 November 2023

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zbMATH Keywords

deep neural networks

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fractional-order Genocchi functions

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stochastic differential equations

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fractional Brownian motion

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convergence analysis

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.1016/j.cnsns.2023.107466

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Legendre wavelets Galerkin method for solving nonlinear stochastic integral equations

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Approximation solution of nonlinear Stratonovich Volterra integral equations by applying modification of hat functions

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Numerical solution of stochastic fractional integro-differential equation by the spectral collocation method

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An iterative shifted Chebyshev method for nonlinear stochastic Itô-Volterra integral equations

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Euler polynomial solutions of nonlinear stochastic Itô-Volterra integral equations

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Application of hat basis functions for solving two-dimensional stochastic fractional integral equations

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Finite difference schemes for linear stochastic integro-differential equations

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Numerical method for solving linear stochasticIto--Volterra integral equations driven by fractional Brownian motion using hat functions

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Numerical solution based on hat functions for solving nonlinear stochastic Itô Volterra integral equations driven by fractional Brownian motion

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Chebyshev cardinal wavelets and their application in solving nonlinear stochastic differential equations with fractional Brownian motion

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Chebyshev cardinal wavelets for nonlinear stochastic differential equations driven with variable-order fractional Brownian motion

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Chelyshkov least squares support vector regression for nonlinear stochastic differential equations by variable fractional Brownian motion

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Fractional-order Bernoulli wavelets and their applications

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An improved composite collocation method for distributed-order fractional differential equations based on fractional Chelyshkov wavelets

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Approximate solution of nonlinear fractional integro-differential equations using fractional alternative Legendre functions

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Fractional-order Legendre functions for solving fractional-order differential equations

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Numerical approach based on fractional-order Lagrange polynomials for solving a class of fractional differential equations

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A new approach to the numerical solution of Fredholm integral equations using least squares-support vector regression

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Chebyshev neural network based model for solving Lane-Emden type equations

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Orthonormal Bernoulli wavelets neural network method and its application in astrophysics

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Physics-informed neural networks: a deep learning framework for solving forward and inverse problems involving nonlinear partial differential equations

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Solving high-dimensional partial differential equations using deep learning

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Numerical solution of the parametric diffusion equation by deep neural networks

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Machine learning of linear differential equations using Gaussian processes

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Numerical Gaussian Processes for Time-Dependent and Nonlinear Partial Differential Equations

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The approximate solutions to source inverse problem of 1-D convection–diffusion equation by LS-SVM

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Stochastic Calculus for Fractional Brownian Motion and Applications

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A numerical solution for fractional optimal control problems via Bernoulli polynomials

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Wavelet approximation scheme for distributed order fractional differential equations

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An efficient computational method for solving nonlinear stochastic Itô integral equations: application for stochastic problems in physics

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Identifiers

10.1016/j.cnsns.2023.107466

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:6058729

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