Fractional differential equations in terms of comparison results and Lyapunov stability with initial time difference
type: Item
instance of: scholarly article
title: Fractional differential equations in terms of comparison results and Lyapunov stability with initial time difference
zbMATH Open document ID: 1196.34010
DOI: 10.1155/2010/762857
author: Coşkun Yakar
published in: Abstract and Applied Analysis
publication date: 2010-04-08T00:00:00Z
full work available at URL: https://eudml.org/doc/228585
review text: The paper considers how Lyapunov stability concepts can be applied to fractional differential equations of Riemann-Liouville or Caputo type. Following a review which explains why this idea is not straightforward, the author discusses basic theory on existence and uniqueness. The concepts of ITD-stability and Lyapunov-like functions are introduced and shown to provide a useful way of understanding classical fractional stability. The paper concludes by describing some comparison results and showing how the various definitions of stability are inter-related.
Mathematics Subject Classification ID: 34A08
Mathematics Subject Classification ID: 34D20
zbMATH DE Number: 5690928
zbMATH Keywords: Lyapunov stability
zbMATH Keywords: fractional differential equations
zbMATH Keywords: Riemann-Liouville derivatives
zbMATH Keywords: Caputo derivatives
zbMATH Keywords: initial time difference
Wikidata QID: Q58649919
reviewed by: Neville J. Ford
MaRDI profile type: Publication
OpenAlex ID: W2081865927
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description: scientific article; zbMATH DE number 5690928