Regularization of nonlocal pseudo-parabolic equation with random noise
DOI:
https://doi.org/10.61383/ejam.20231119Keywords:
Fractional Tikhonov, Regularization, Conformable time derivative, Discrete data, random noiseAbstract
In this paper, we consider an inverse problem for a time-fractional diffusion equation with the inhomogeneous source. These problems have many applications in engineering such as image processing, geophysics, biology. We get the result in random case as follows:
• This problem is ill-posed.
• We have used the nonlocal condition, instead of the final time condition.
• Using the IFT regularization method, constructing the regularized solution, the a-priori choice rule for the regularization parameter is discussed and yields the corresponding convergence rate.
• A numerical experiment is presented to illustrate the results in theory.
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Copyright (c) 2023 Yusuf Gurefe; Le Dinh Long (Corresponding Author); Devendra Kumar
This work is licensed under a Creative Commons Attribution 4.0 International License.
