A Look at Fractal Functions Through Their Fractional Derivatives

DOI10.1142/S0218348X97000450zbMath0907.26004OpenAlexW2139217872MaRDI QIDQ3841492

Michael Stiassnie

Publication date: 11 January 1999

Published in: Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218348x97000450

zbMATH Keywords

fractional derivativesRiemann functiontrigonometric seriesfractal functionsWeierstraß functionLipschitz-Hölder exponent

Mathematics Subject Classification ID

Singular functions, Cantor functions, functions with other special properties (26A30) Fractional derivatives and integrals (26A33) Fractals (28A80) Nondifferentiability (nondifferentiable functions, points of nondifferentiability), discontinuous derivatives (26A27)

Related Items (4)

Fractional derivative reconstruction of forced oscillators ⋮ Non-differentiability and fractional differentiability on timescales ⋮ Fractional derivatives applied to phase-space reconstructions ⋮ Fractal dimensions of random water surfaces

Cites Work

• A numerical study of some fractal properties of Riemann's ``non-differentiable function.

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