Please use this identifier to cite or link to this item: http://hdl.handle.net/10525/1238

 Title: From Differences to Derivatives Authors: Duarte Ortigueira, ManuelCoito, Fernando Keywords: Fractional DifferenceGrünwald-Letnikov DerivativeGeneralized 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. URI: http://hdl.handle.net/10525/1238 ISSN: 1311-0454 Appears in Collections: 2004

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