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Fractional Integrals and Derivatives: “True” versus “False”

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  • Yuri Luchko

    (Department of Mathematics, Physics, and Chemistry, Berlin University of Applied Sciences and Technology, 13353 Berlin, Germany)

Abstract

Within the last few years, many of the efforts of the fractional calculus (FC) community have been directed towards clarifying the nature and essential properties of the operators known as fractional integrals and derivatives [...]

Suggested Citation

  • Yuri Luchko, 2023. "Fractional Integrals and Derivatives: “True” versus “False”," Mathematics, MDPI, vol. 11(13), pages 1-2, July.
    • Handle: RePEc:gam:jmathe:v:11:y:2023:i:13:p:3003-:d:1187729
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    References listed on IDEAS

    as
    1. Jean-Philippe Aguilar & Jan Korbel & Nicolas Pesci, 2021. "On the Quantitative Properties of Some Market Models Involving Fractional Derivatives," Mathematics, MDPI, vol. 9(24), pages 1-24, December.
    2. Yuri Luchko, 2022. "Fractional Differential Equations with the General Fractional Derivatives of Arbitrary Order in the Riemann–Liouville Sense," Mathematics, MDPI, vol. 10(6), pages 1-24, March.
    3. Manuel D. Ortigueira, 2022. "A New Look at the Initial Condition Problem," Mathematics, MDPI, vol. 10(10), pages 1-17, May.
    4. Yuri Luchko, 2021. "General Fractional Integrals and Derivatives with the Sonine Kernels," Mathematics, MDPI, vol. 9(6), pages 1-17, March.
    5. Masahiro Yamamoto, 2022. "Fractional Calculus and Time-Fractional Differential Equations: Revisit and Construction of a Theory," Mathematics, MDPI, vol. 10(5), pages 1-55, February.
    6. Vasily E. Tarasov, 2022. "Fractional Dynamics with Depreciation and Obsolescence: Equations with Prabhakar Fractional Derivatives," Mathematics, MDPI, vol. 10(9), pages 1-34, May.
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