The Grünwald-Letnikov difference operator and regularization of the Weyl fractional differentiation

DOI10.4171/ZAA/497zbMath0804.65140MaRDI QIDQ1332679

Tuan, V. K., Rudolf Gorenflo

Publication date: 1 September 1994

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

zbMATH Keywords

error estimateill-posed problemstability estimatesGrünwald-Letnikov difference operatorlocal regularization schemeWeyl integral equation

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)

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Stable approximation of fractional derivatives of rough functions, Grünwald-Letnikov fractional operators: from past to present, Extrapolation to the Limit for Numerical Fractional Differentiation