Stability results for fractional differentiation

DOI10.1080/00036810008840881zbMath1018.26004OpenAlexW1974507559MaRDI QIDQ2729511

Dinh Nho Hào, Mai Thi Thu

Publication date: 22 July 2001

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036810008840881

zbMATH Keywords

ill-posed problemfractional differentiationLiouville integral operatorregularization mollificationRiesz and Bessel fractional integral operators

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Numerical differentiation (65D25) Numerical solutions of ill-posed problems in abstract spaces; regularization (65J20)

Related Items (1)

Mollification of fractional derivatives using rapidly decaying harmonic wavelet

Cites Work

• A mollification method for ill-posed problems
• Stable nunerical fractional differentiation by mollification
• On the regularization of fractional differentiation of arbitrary positive order
• Locally controllable regularization of fractional derivatives
• Locally controllable regularization of Abel integral equations via operator complementation

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