A nonparametric estimation method is proposed for uncertain fractional differential equations (UFDEs). Error analysis of the proposed method is given and illustrate with numerical simulation. Advantages of UFDEs are proved by making comparison with uncertain differential equations and stochastic differential equations.
Mar 20, 2023 · In this paper, we propose a Legendre polynomial based method for the nonparametric estimation of autonomous uncertain differential equations.
As an important part of uncertainty theory, uncertain fractional differential equation is a good tool to model some complex dynamic systems with uncertainties.
Mar 4, 2023 · In this paper, we propose a Legendre polynomial based method for the nonparametric estimation of autonomous uncertain differential equations.
In this paper, we propose a Legendre polynomial based method for the nonparametric estimation of autonomous uncertain differential equations. After that, some ...
Jun 2, 2024 · There has been a great deal of progress in the research on parameter estimation for uncertain differential equations (UDEs).
In this paper, we propose a Legendre polynomial based method for the nonparametric estimation of autonomous uncertain differential equations. After that, some ...
Nonparametric estimation of nonautonomous uncertain differential equations with application to temperature models · Environmental Science, Mathematics. J. Intell ...
Mar 5, 2024 · In this paper, a nonparametric estimation method based on the nonautonomous UDEs of the binary Legendre polynomial is proposed. Then, three ...
Jun 6, 2024 · One of the key issues within the research of uncertain differential equations is the estimation of parameters involved based on the observed ...