A computationally efficient method for tempered fractional differential equations with application
type: Item
instance of: scholarly article
title: A computationally efficient method for tempered fractional differential equations with application
zbMATH Open document ID: 1405.65092
author: Behrouz Parsa Moghaddam
author: Afshin Babaei
author: José A. Tenreiro Machado
published in: Computational and Applied Mathematics
publication date: 2018-11-05T00:00:00Z
review text: The authors propose to approximately calculate the tempered fractional integral or derivative of a given function by expanding the function in a sinc series, truncating the series, and applying the fractional operator in question to this truncated series. Furthermore, this idea is combined with a collocation approach to numerically solve an associated differential equation. Some numerical experiments are conducted, and the resulting errors are shown, but no formal error analysis is made.
reviewed by: Kai Diethelm
Mathematics Subject Classification ID: 65L60
Mathematics Subject Classification ID: 26A33
Mathematics Subject Classification ID: 65L20
Mathematics Subject Classification ID: 65R20
zbMATH DE Number: 6973282
zbMATH Keywords: tempered fractional calculus
zbMATH Keywords: computational method
zbMATH Keywords: sinc-collocation method
zbMATH Keywords: lumped capacitance model
describes a project that uses: Sinc-Pack
MaRDI profile type: Publication
full work available at URL: s40314-017-0522-1
OpenAlex ID: W2770801977
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DOI: 10.1007/S40314-017-0522-1
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description: scientific article; zbMATH DE number 6973282