Journal
BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY
Volume 46, Issue 6, Pages -Publisher
SPRINGERNATURE
DOI: 10.1007/s40840-023-01595-y
Keywords
Sobolev-Galpern; Random noise; Regularized solution; Ill-posed problem; Caputo derivative
Categories
Ask authors/readers for more resources
This paper aims to retrieve the initial value for a non-local fractional Sobolev-Galpern problem. The Fourier truncation method is applied to construct the regularized solution, and the convergence between the solution and the regularized solution is estimated. Additionally, a numerical example is proposed to assess the efficiency of the theory.
This paper aims to retrieve the initial value for a non-local fractional Sobolev-Galpern problem. The given data are subject to noise by the discrete random model. We show that the solution to the problem is ill-posed in the sense of Hadamard. In this paper, we applied the Fourier truncation method to construct the regularized solution. We estimate the convergence between the solution and the regularized solution. In addition, the numerical example is also proposed to assess the efficiency of the theory.
Authors
I am an author on this paper
Click your name to claim this paper and add it to your profile.
Reviews
Recommended
No Data Available