Please use this identifier to cite or link to this item: http://hdl.handle.net/10525/1232

 Title: An Expansion Formula for Fractional Derivatives and its Application Authors: Atanackovic, T.Stankovic, B. Keywords: Fractional DerivativesMoments of the k-th Derivative26A33 Issue Date: 2004 Publisher: Institute of Mathematics and Informatics Bulgarian Academy of Sciences Citation: Fractional Calculus and Applied Analysis, Vol. 7, No 3, (2004), 365p-378p Abstract: An expansion formula for fractional derivatives given as in form of a series involving function and moments of its k-th derivative is derived. The convergence of the series is proved and an estimate of the reminder is given. The form of the fractional derivative given here is especially suitable in deriving restrictions, in a form of internal variable theory, following from the second law of thermodynamics, when applied to linear viscoelasticity of fractional derivative type. URI: http://hdl.handle.net/10525/1232 ISSN: 1311-0454 Appears in Collections: 2004

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