SEVERAL SPECIAL FUNCTIONS IN FRACTALS AND APPLICATIONS OF THE FRACTAL IN MACHINE LEARNING

DOI10.1142/S0218348X22500311zbMath1496.28012OpenAlexW4210745207MaRDI QIDQ5064336

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Publication date: 15 March 2022

Published in: Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218348x22500311

zbMATH Keywords

continuous functionfractalsmachine learningunbounded variation

Mathematics Subject Classification ID

Learning and adaptive systems in artificial intelligence (68T05) Fractals (28A80) Functions of bounded variation, generalizations (26A45)

Cites Work

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• The fractional calculus. Theory and applications of differentiation and integration to arbitrary order
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• On the connection between the order of fractional calculus and the dimensions of a fractal function
• Some remarks on one-dimensional functions and their Riemann-Liouville fractional calculus
• THE RELATIONSHIP BETWEEN FRACTIONAL CALCULUS AND FRACTALS
• ESTIMATION OF FRACTAL DIMENSION OF FRACTIONAL CALCULUS OF THE HÖLDER CONTINUOUS FUNCTIONS
• SOME REMARKS ON FRACTIONAL INTEGRAL OF ONE-DIMENSIONAL CONTINUOUS FUNCTIONS
• DIMENSION ANALYSIS OF CONTINUOUS FUNCTIONS WITH UNBOUNDED VARIATION
• Continuous Functions without Derivatives

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