Please use this identifier to cite or link to this item: http://hdl.handle.net/10525/1310

 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 DerivativesFractional CalculusLinear Viscoelastic Materials26A33 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 URI: http://hdl.handle.net/10525/1310 ISSN: 1311-0454 Appears in Collections: 2007

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