From Differences to Derivatives


Autoria(s): Duarte Ortigueira, Manuel; Coito, Fernando
Data(s)

27/08/2010

27/08/2010

2004

Resumo

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.

Identificador

Fractional Calculus and Applied Analysis, Vol. 7, No 4, (2004), 459p-471p

1311-0454

http://hdl.handle.net/10525/1238

Idioma(s)

en

Publicador

Institute of Mathematics and Informatics Bulgarian Academy of Sciences

Palavras-Chave #Fractional Difference #Grünwald-Letnikov Derivative #Generalized Cauchy Derivative
Tipo

Article