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A nonlinear fractional Rayleigh–Stokes equation under nonlocal integral conditions
Cited 1 time in
Web of Science
Cited 2 time in Scopus
- Authors
- Issue Date
- 2021-08-19
- Publisher
- Springer Open
- Citation
- Advances in Difference Equations. 2021 Aug 19;2021(1):388
- Keywords
- Fractional Rayleigh–Stokes equation ; Ill-posed problem ; Regularization ; Existence ; Uniqueness ; Convergence estimation
- Abstract
- In this paper, we study the fractional nonlinear Rayleigh–Stokes equation under nonlocal integral conditions, and the existence and uniqueness of the mild solution to our problem are considered. The ill-posedness of the mild solution to the problem recovering the initial value is also investigated. To tackle the ill-posedness, a regularized solution is constructed by the Fourier truncation method, and the convergence rate to the exact solution of this method is demonstrated.
- ISSN
- 1687-1847
- Language
- English
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