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In this paper, we consider a backward problem for a space-fractional diffusion equation. This problem is ill-posed, i.e., the solution does not depend continuously on the data. The optimal error… Click to show full abstract
In this paper, we consider a backward problem for a space-fractional diffusion equation. This problem is ill-posed, i.e., the solution does not depend continuously on the data. The optimal error bound for the problem under a source condition is analyzed. Based on the idea of modified ‘kernel’, a regularization method is constructed, and the convergence estimates are obtained under a priori regularization parameter choice rule and a posteriori regularization parameter choice rule, respectively.
Keywords:
backward;
space fractional;
modified kernel;
optimal error;
error bound;
problem
Journal Title: Advances in Difference Equations
Year Published: 2018
Link to full text (if available)
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Journal Title: Advances in Difference Equations
Year Published: 2018
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!