Backward problem for a nonlinear fractional bi-parabolic equation with Gaussian white noise
Year: 2026
Type: article
Abstract: In this paper, we investigate an approach for regularizing the inverse problem associated with the nonlinear bi-parabolic equation involving the fractional Laplacian. Moreover, we consider the source function satisfying locally Lipschitz condition and the input data are perturbed by Gaussian white noise. We also demonstrate the ill-posedness of the problem, then we use the Fourier truncation method to regularize it and propose the convergence rates between the exact solution and the regularized solution. Numerical examples are provided to illustrate the effectiveness of the theoretical results.
Authors: Tu Tran Quoc, Triet Le, Phong Luu Hong
Institution: Saigon University
Language: English
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: diamond
Funder: Trường Đại học Sài Gòn
OpenAlex ID: W7203621423