On optimal regularization methods for fractional differentiation

DOI10.4171/ZAA/892zbMath0941.65140MaRDI QIDQ1301262

Rudolf Gorenflo, Ulrich Tautenhahn

Publication date: 13 April 2000

Published in: Zeitschrift für Analysis und ihre Anwendungen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/48484

zbMATH Keywords

Sobolev spaceAbel integral equationsspectral methodsoptimal algorithmsTikhonov's regularization methodbest possible worst case error

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Numerical methods for ill-posed problems for integral equations (65R30) Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type) (45E10)

Related Items (8)

Unknown source identification problem for space-time fractional diffusion equation: optimal error bound analysis and regularization method ⋮ Optimal error bound and Fourier regularization for identifying an unknown source in the heat equation ⋮ Regularization methods for a problem of analytic continuation ⋮ An Inverse Diffraction Problem: Shape Reconstruction ⋮ Asymptotic equivalence for regression under fractional noise ⋮ A potential-free field inverse Schrödinger problem: optimal error bound analysis and regularization method ⋮ Landweber iteration regularization method for identifying unknown source on a columnar symmetric domain ⋮ Professor Rudolf Gorenflo and his contribution to fractional calculus

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