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From Differences to Derivatives

Duarte Ortigueira, ManuelCoito, Fernando — 2004

Fractional Calculus and Applied Analysis

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.

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