Institute of Mathematics and Informatics Bulgarian Academy of Sciences
Fractional Calculus and Applied Analysis, Vol. 7, No 4, (2004), 459p-471p
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.