# From Differences to Derivatives

Duarte Ortigueira, Manuel; Coito, Fernando

Fractional Calculus and Applied Analysis (2004)

- Volume: 7, Issue: 4, page 459-471
- ISSN: 1311-0454

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topDuarte Ortigueira, Manuel, and Coito, Fernando. "From Differences to Derivatives." Fractional Calculus and Applied Analysis 7.4 (2004): 459-471. <http://eudml.org/doc/11265>.

@article{DuarteOrtigueira2004,

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.},

author = {Duarte Ortigueira, Manuel, Coito, Fernando},

journal = {Fractional Calculus and Applied Analysis},

keywords = {Fractional Difference; Grünwald-Letnikov Derivative; Generalized Cauchy Derivative; fractional difference; Grunwald-Letnikov derivative; generalized Cauchy derivative},

language = {eng},

number = {4},

pages = {459-471},

publisher = {Institute of Mathematics and Informatics Bulgarian Academy of Sciences},

title = {From Differences to Derivatives},

url = {http://eudml.org/doc/11265},

volume = {7},

year = {2004},

}

TY - JOUR

AU - Duarte Ortigueira, Manuel

AU - Coito, Fernando

TI - From Differences to Derivatives

JO - Fractional Calculus and Applied Analysis

PY - 2004

PB - Institute of Mathematics and Informatics Bulgarian Academy of Sciences

VL - 7

IS - 4

SP - 459

EP - 471

AB - 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.

LA - eng

KW - Fractional Difference; Grünwald-Letnikov Derivative; Generalized Cauchy Derivative; fractional difference; Grunwald-Letnikov derivative; generalized Cauchy derivative

UR - http://eudml.org/doc/11265

ER -

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