Fractional differential equations and the Schrödinger equation
type: Item
instance of: scholarly article
title: Fractional differential equations and the Schrödinger equation
zbMATH Open document ID: 1085.34066
author: Fayçal Ben Adda
author: Jacky Cresson
published in: Applied Mathematics and Computation
publication date: 2005-02-22T00:00:00Z
review text: The authors study fractional differential equations associated to the \(\alpha\)-derivative, where such equations appear in many problems. In particular, they obtain a fractional differential equation related to the classical Schrödinger equation by studying Nottale's approach to quantum mechanics via a fractal space-time.
reviewed by: Ismail Taqi Ali
Mathematics Subject Classification ID: 34L40
Mathematics Subject Classification ID: 26A33
zbMATH DE Number: 2136147
zbMATH Keywords: fractional differential equations
zbMATH Keywords: Schrödinger equation
zbMATH Keywords: \(\alpha\)-differential equations
MaRDI profile type: Publication
full work available at URL: j.amc.2003.12.031
OpenAlex ID: W2101836017
Wikidata QID: Q56687900
cites work: Q4361663
cites work: About non-differentiable functions
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cites work: Scale relativity theory for one-dimensional non-differentiable manifolds
cites work: Q5569065
cites work: Q4858091
cites work: Q4054212
cites work: Q4274291
cites work: Q4233638
cites work: Integration and differentiation to a variable fractional order
cites work: Q4242532
DBLP publication ID: journals/amc/AddaC05
DOI: 10.1016/J.AMC.2003.12.031
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description: scientific article; zbMATH DE number 2136147