On the regularization of fractional differentiation of arbitrary positive order

DOI10.1080/01630569408816588zbMath0810.65137OpenAlexW2089204499MaRDI QIDQ4302544

Rudolf Gorenflo, Tuan, V. K.

Publication date: 4 October 1994

Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/01630569408816588

zbMATH Keywords

convergenceregularizationAbel integral equationfractional differentiationintegral equations of the first kindGrünwald-Letnikov difference operatororder-optimal error bound

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

Extrapolation to the Limit for Numerical Fractional Differentiation, Stability results for fractional differentiation

Cites Work

• Abel integral equations. Analysis and applications
• On Approximate Computation of the Values of the Normal Derivative of Solutions to Linear Partial Differential Equations of Second Order with Application to Abel's Integral Equation
• An Approach to Fractional Powers of Operators via Fractional Differences
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