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TitleA hybrid numerical scheme for fractional-order systems
Author(s)Ferrás, Luís Jorge Lima
Ford, N. J.
Morgado, M. L.
Rebelo, M.
KeywordsCaputo derivative
Electrical circuits
Fractional differential equations
Non-polynomial collocation method
Polynomial collocation method
Issue date2019
PublisherSpringer Verlag
JournalLecture Notes in Electrical Engineering
Abstract(s)In this work we present a hybrid numerical scheme for the solution of systems of fractional differential equations arising in several fields of engineering. The numerical scheme can deal with both smooth and non-smooth solutions, and, the idea behind the hybrid method is that of approximating the solution as a linear combination of non-polynomial functions in a region near the singularity, and by polynomials in the remaining domain. The numerical method is then used to study fractional RC electrical circuits.
TypeConference paper
AccessOpen access
Appears in Collections:CMAT - Artigos em atas de conferências e capítulos de livros com arbitragem / Papers in proceedings of conferences and book chapters with peer review

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