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

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.

Bibliographic Details
Main Authors: Sergei Rogosin, Maryna Dubatovskaya
Format: Article
Language:English
Published: MDPI AG 2017-12-01
Series:Mathematics
Subjects:
Online Access:https://www.mdpi.com/2227-7390/6/1/3