On the Aronszajn property for an implicit differential equation of fractional order
type: Item
instance of: scholarly article
title: On the Aronszajn property for an implicit differential equation of fractional order
zbMATH Open document ID: 1213.34009
DOI: 10.4171/ZAA/1416
author: Aldona Dutkiewicz
author: Stanisław Szufla
published in: Zeitschrift für Analysis und ihre Anwendungen
publication date: 2010-11-17T00:00:00Z
review text: The paper is concerned with existence theory for a fractional differential equation of the form \[ D^\beta x =g(t,x,D^\beta x); \quad x(0)=x_0, \] where the fractional derivative is taken in the Caputo sense. The main result of the paper shows that under appropriate conditions, the set of solutions to the equation is homeomorphic to the intersection of a decreasing sequence of compact absolute retracts.
reviewed by: Neville J. Ford
Mathematics Subject Classification ID: 34A08
Mathematics Subject Classification ID: 34A12
Mathematics Subject Classification ID: 34A09
zbMATH DE Number: 5816830
zbMATH Keywords: Caputo derivative
zbMATH Keywords: existence theory
zbMATH Keywords: implicit equation
zbMATH Keywords: fractional calculus
Wikidata QID: Q115211766
MaRDI profile type: Publication
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full work available at URL: https://doi.org/10.4171/zaa/1416
OpenAlex ID: W2039118486
description: scientific article; zbMATH DE number 5816830