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Title: From Differences to Derivatives
Authors: Duarte Ortigueira, Manuel
Coito, Fernando
Keywords: Fractional Difference
Grünwald-Letnikov Derivative
Generalized Cauchy Derivative
Issue Date: 2004
Publisher: Institute of Mathematics and Informatics Bulgarian Academy of Sciences
Citation: Fractional Calculus and Applied Analysis, Vol. 7, No 4, (2004), 459p-471p
Abstract: A relation showing that the Grünwald-Letnikov and generalized Cauchy derivatives are equal is deduced confirming the validity of a well known conjecture. Integral representations for both direct and reverse fractional differences are presented. From these the fractional derivative is readily obtained generalizing the Cauchy integral formula.
ISSN: 1311-0454
Appears in Collections:2004

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