On the convergence of successive approximations for a fractional differential equation in Banach spaces
type: Item
instance of: scholarly article
title: On the convergence of successive approximations for a fractional differential equation in Banach spaces
zbMATH Open document ID: 1301.34008
DOI: 10.4171/ZAA/1513
author: Aldona Dutkiewicz
published in: Zeitschrift für Analysis und ihre Anwendungen
publication date: 2014-08-19T00:00:00Z
review text: Summary: In this paper we present a convergence result for the successive approximations for a nonlinear fractional differential equation of Caputo type in Banach spaces. Also an example is given to illustrate our result.
Mathematics Subject Classification ID: 34A08
Mathematics Subject Classification ID: 34G20
Mathematics Subject Classification ID: 34A45
zbMATH DE Number: 6331658
zbMATH Keywords: fractional differential equations
zbMATH Keywords: initial value problem
zbMATH Keywords: successive approximations
zbMATH Keywords: Caputo's derivative
zbMATH Keywords: measures of noncompactness
zbMATH Keywords: Banach spaces
Wikidata QID: Q115211754
MaRDI profile type: Publication
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full work available at URL: https://doi.org/10.4171/zaa/1513
OpenAlex ID: W2006173165
description: scientific article; zbMATH DE number 6331658