Letnikov vs. Marchaud: a survey on two prominent constructions of fractional derivatives
type: Item
instance of: scholarly article
title: Letnikov vs. Marchaud: a survey on two prominent constructions of fractional derivatives
zbMATH Open document ID: 1488.26022
author: Sergei V. Rogosin
author: M. V. Dubatovskaya
published in: Mathematics
publication date: 2018-08-13T00:00:00Z
review text: Summary: 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.
Mathematics Subject Classification ID: 26A33
Mathematics Subject Classification ID: 34A08
Mathematics Subject Classification ID: 34K37
Mathematics Subject Classification ID: 35R11
Mathematics Subject Classification ID: 39A70
zbMATH DE Number: 6916878
zbMATH Keywords: fractional integrals and derivatives
zbMATH Keywords: Grünwald-Letnikov approach
zbMATH Keywords: marchaud approach
zbMATH Keywords: fractional differences
zbMATH Keywords: Hadamard finite part
MaRDI profile type: Publication
full work available at URL: math6010003
OpenAlex ID: W2777273533
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DOI: 10.3390/MATH6010003
description: scientific article; zbMATH DE number 6916878