Next Article in Journal / Special Issue
A Note on Hadamard Fractional Differential Equations with Varying Coefficients and Their Applications in Probability
Previous Article in Journal / Special Issue
An Iterative Method for Solving a Class of Fractional Functional Differential Equations with “Maxima”
Article

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

Department of Economics, Belarusian State University, 4, Nezavisimosti ave, 220030 Minsk, Belarus
*
Author to whom correspondence should be addressed.
Mathematics 2018, 6(1), 3; https://doi.org/10.3390/math6010003
Received: 22 November 2017 / Revised: 14 December 2017 / Accepted: 20 December 2017 / Published: 25 December 2017
(This article belongs to the Special Issue Fractional Calculus: Theory and Applications)
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. View Full-Text
Keywords: fractional integrals and derivatives; Grünwald–Letnikov approach; Marchaud approach; fractional differences; Hadamard finite part fractional integrals and derivatives; Grünwald–Letnikov approach; Marchaud approach; fractional differences; Hadamard finite part
MDPI and ACS Style

Rogosin, S.; Dubatovskaya, M. Letnikov vs. Marchaud: A Survey on Two Prominent Constructions of Fractional Derivatives. Mathematics 2018, 6, 3. https://doi.org/10.3390/math6010003

AMA Style

Rogosin S, Dubatovskaya M. Letnikov vs. Marchaud: A Survey on Two Prominent Constructions of Fractional Derivatives. Mathematics. 2018; 6(1):3. https://doi.org/10.3390/math6010003

Chicago/Turabian Style

Rogosin, Sergei, and Maryna Dubatovskaya. 2018. "Letnikov vs. Marchaud: A Survey on Two Prominent Constructions of Fractional Derivatives" Mathematics 6, no. 1: 3. https://doi.org/10.3390/math6010003

Find Other Styles
Note that from the first issue of 2016, MDPI journals use article numbers instead of page numbers. See further details here.

Article Access Map by Country/Region

1
Back to TopTop