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Fractional integrals, derivatives and integral equations with weighted Takagi–Landsberg functions

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Publication:5132225
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DOI10.15388/namc.2020.25.20566zbMath1452.26007arXiv2003.13285OpenAlexW3097603488MaRDI QIDQ5132225

Vitalii Makogin, Yuliya S. Mishura

Publication date: 10 November 2020

Published in: Nonlinear Analysis: Modelling and Control (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2003.13285

zbMATH Keywords

fractional derivativesSchauder basisVolterra equationTakagi-Landsberg functions


Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Lipschitz (Hölder) classes (26A16) Fractional derivatives and integrals (26A33)




Cites Work

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  • The Takagi function: a survey
  • On a class of generalized Takagi functions with linear pathwise quadratic variation
  • Integration with respect to fractal functions and stochastic calculus. I
  • Differential equations driven by fractional Brownian motion
  • On (signed) Takagi-Landsberg functions: \(p\)th variation, maximum, and modulus of continuity
  • Fractional Langevin Equation
  • The Takagi Function and Its Properties
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