Sensitivity of a fractional integrodifferential Cauchy problem of Volterra type
type: Item
instance of: scholarly article
title: Sensitivity of a fractional integrodifferential Cauchy problem of Volterra type
zbMATH Open document ID: 1296.45002
DOI: 10.1155/2013/129478
author: Dariusz Idczak
author: Andrzej Skowron
author: Stanislaw Walczak
published in: Abstract and Applied Analysis
publication date: 2014-06-20T00:00:00Z
review text: Summary: We prove a theorem on the existence and uniqueness of a solution as well as on a sensitivity (i.e., differentiable dependence of a solution on a functional parameter) of a fractional integrodifferential Cauchy problem of Volterra type. The proof of this result is based on a theorem on diffeomorphism between Banach and Hilbert spaces. The main assumption is the Palais-Smale condition.
Mathematics Subject Classification ID: 45D05
Mathematics Subject Classification ID: 45J05
Mathematics Subject Classification ID: 34A08
zbMATH DE Number: 6306041
Wikidata QID: Q58915319
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2013/129478
OpenAlex ID: W2159529585
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description: scientific article; zbMATH DE number 6306041