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Letnikov vs. Marchaud: A Survey on Two Prominent Constructions of Fractional Derivatives

Author

Listed:
  • Sergei Rogosin

    (Department of Economics, Belarusian State University, 4, Nezavisimosti ave, 220030 Minsk, Belarus)

  • Maryna Dubatovskaya

    (Department of Economics, Belarusian State University, 4, Nezavisimosti ave, 220030 Minsk, Belarus)

Abstract

In this survey paper, we analyze two constructions of fractional derivatives proposed by Aleksey Letnikov (1837–1888) and by André Marchaud (1887–1973), respectively. These derivatives play very important roles in Fractional Calculus and its applications.

Suggested Citation

  • Sergei Rogosin & Maryna Dubatovskaya, 2017. "Letnikov vs. Marchaud: A Survey on Two Prominent Constructions of Fractional Derivatives," Mathematics, MDPI, vol. 6(1), pages 1-15, December.
    • Handle: RePEc:gam:jmathe:v:6:y:2017:i:1:p:3-:d:124292
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    References listed on IDEAS

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    1. Lembke B., 1918. "√ a. p," Journal of Economics and Statistics (Jahrbuecher fuer Nationaloekonomie und Statistik), De Gruyter, vol. 111(1), pages 709-712, February.
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