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

Sergei Rogosin and Maryna Dubatovskaya
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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

Mathematics, 2017, vol. 6, issue 1, 1-15

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.

Keywords: fractional integrals and derivatives; Grünwald–Letnikov approach; Marchaud approach; fractional differences; Hadamard finite part (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2017
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