Recovering solution of the Reverse nonlinear time Fractional diffusion equations with fluctuations data



Riemann-Liouville, Regularized solution, Gaussian white noise, Ill-posed


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.


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2023 Sep 09

How to Cite

T. X. Doan Thi and T. H. Vo Thi, “Recovering solution of the Reverse nonlinear time Fractional diffusion equations with fluctuations data”, Electron. J. Appl. Math., vol. 1, no. 2, pp. 60–70, Sep. 2023.



Research Article
Received 2023 Aug 02
Accepted 2023 Sep 05
Published 2023 Sep 09