A Mollification Method for Backward Time-Fractional Heat Equation

Author:

Van Duc Nguyen,Muoi Pham Quy,Van Thang Nguyen

Funder

National Foundation for Science and Technology Development

Publisher

Springer Science and Business Media LLC

Subject

General Mathematics

Reference7 articles.

1. Kibas, A. A., Srivastava, H. M., Trujillo, J. J.: Theory and Applications of Fractional Differential Equations. North-Holland Mathematics Studies, vol. 204 Elsevier (2006)

2. Liu, J. J., Yamamoto, M.: A backward problem for the time-fractional diffusion equation. Appl. Anal. 89(11), 1769–1788 (2010)

3. Nikol’skii, S. M.: Approximation of Functions of Several Variables and Imbedding Theorem. Springer-Verlag, Berlin-Heidelberg-Newyork (1975)

4. Tautenhahn, U.: Optimality for ill-posed problems under general source conditions. Numer. Funct. Anal. Optim. 19, 377–398 (1998)

5. Wang, L., Liu, J.: Total variation regularization for a backward time-fractional diffusion problem. Inverse Problems 29(115013), 22 (2013)

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