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Title: On the Equivalence of the Riemann-Liouville and the Caputo Fractional Order Derivatives in Modeling of Linear Viscoelastic Materials
Authors: Bagley, Ron
Keywords: Riemann-Liouville and Caputo Fractional Derivatives
Fractional Calculus
Linear Viscoelastic Materials
Issue Date: 2007
Publisher: Institute of Mathematics and Informatics Bulgarian Academy of Sciences
Citation: Fractional Calculus and Applied Analysis, Vol. 10, No 2, (2007), 123p-126p
Abstract: In the process of constructing empirical mathematical models of physical phenomena using the fractional calculus, investigators are usually faced with the choice of which definition of the fractional derivative to use, the Riemann-Liouville definition or the Caputo definition. This investigation presents the case that, with some minimal restrictions, the two definitions produce completely equivalent mathematical models of the linear viscoelastic phenomenon.
Description: Mathematics Subject Classification: 26A33
ISSN: 1311-0454
Appears in Collections:2007

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