Recovering initial condition backward problem for composite fractional relaxation equations
- Authors
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- Keywords:
- backward problem, initial data, diffusion-wave equation, Caputo fractional derivative, ill-posed problem, regularization method
- Abstract
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A backward problem for composite fractional relaxation equations is considered with Caputo's fractional derivative. Based on a spectral problem, the representation of solutions is established. Next, we show the mildly ill-posedness in the Hadamard sense. Afterthat, we show the regularization solution by two regularization methods : the Landweber regularization method and the iterative method. Afterthat, the convergent rate between the exact solution and the regularized solution is provided, under the a priori parameter choice rule.
- References
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- Additional Files
- Published
- 28-03-2025
- Issue
- Vol. 3 No. 1 (2025)
- Section
- Research Article
- License
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Copyright (c) 2025 Letters on Applied and Pure Mathematics
This work is licensed under a Creative Commons Attribution 4.0 International License.
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