On fractional backward differential formulas methods for fractional differential equations with delay
type: Item
instance of: scholarly article
title: On fractional backward differential formulas methods for fractional differential equations with delay
zbMATH Open document ID: 1447.65011
author: Mahdi Saedshoar Heris
author: M. Javidi
published in: International Journal of Applied and Computational Mathematics
publication date: 2018-10-15T00:00:00Z
review text: The authors apply fractional backward difference formulae approaches to provide a numerical solution of some basic linear delay equations of fractional order. They provide a classical stability analysis of the resulting difference schemes and present diagrams illustrating the stability regions. Numerical examples, chosen so that the solution is smooth, are used to illustrate the absolute errors and convergence orders of the resulting methods. The paper concludes with some discussion of the impact of small perturbations in the parameters of the equation, as a practical example of the stability behaviour investigated earlier in the paper.
Mathematics Subject Classification ID: 65L03
Mathematics Subject Classification ID: 34K37
Mathematics Subject Classification ID: 65L06
Mathematics Subject Classification ID: 65L20
zbMATH DE Number: 6954743
zbMATH Keywords: fractional backward difference formulae
zbMATH Keywords: linear delay differential equations
zbMATH Keywords: stability
reviewed by: Neville J. Ford
MaRDI profile type: Publication
full work available at URL: s40819-018-0493-y
OpenAlex ID: W2789290437
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Wikidata QID: Q130148564
DOI: 10.1007/S40819-018-0493-Y
description: scientific article; zbMATH DE number 6954743