Author:
Doan Thi Thanh Xuan,Vo Thi Thanh Ha
Abstract
In this study, our focus is on obtaining an estimated solution for the nonlinear fractional time diffusion equation. Specifically, we have utilized the Riemann Liouville fractional derivative. Additionally, we have concerned Gaussian white noise in the input data. As we are aware, this problem is considered ill-posed according to Hadamard's definition. To tackle this problem, we have proposed a regularized solution and demonstrated the convergence between the mild solution and the regularized solution.
Publisher
Department of Library and Documentation, Mersin University
Cited by
2 articles.
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