Analytical solution of fractional variable order differential equations
type: Item
instance of: scholarly article
title: Analytical solution of fractional variable order differential equations
zbMATH Open document ID: 1409.34014
author: Wiktor Malesza
author: Michal Macias
author: Dominik Sierociuk
published in: Journal of Computational and Applied Mathematics
publication date: 2019-01-04T00:00:00Z
review text: The aim of the paper is to introduce and develop an approach for solving fractional variable order linear differential equations with different types of variable order derivative definitions (e.g. A-type, B-type, D-type, E-type), defined in previous works of the same authors. The introduced approach is motivated and based on switching schemes using fractional order transfer functions, that realize different types of variable order derivatives. The analytical solutions are obtained by using the Laplace transform and then are compared with numerical results, i.e. the methods are validated by comparison with numerical results. As the authors think the achieved methods can be helpful to validate existing or developed numerical algorithms for solving these types of equations.
reviewed by: Andrey Zahariev
Mathematics Subject Classification ID: 34A08
Mathematics Subject Classification ID: 34A30
Mathematics Subject Classification ID: 44A10
zbMATH DE Number: 6997518
zbMATH Keywords: fractional derivatives and integrals
zbMATH Keywords: fractional differential equations
zbMATH Keywords: variable order
MaRDI profile type: Publication
full work available at URL: j.cam.2018.08.035
OpenAlex ID: W2890721927
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Wikidata QID: Q129289110
DOI: 10.1016/J.CAM.2018.08.035
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description: scientific article; zbMATH DE number 6997518