A note on the relationship between the Hausdorff dimension and the order of Grünwald's definition for fractional calculus.

Leon Hardy

A note on the relationship between the Hausdorff dimension and the order of Grünwald's definition for fractional calculus.

University of South Florida

Research output: Contribution to journal › Article › peer-review

Abstract

Given an iterated function system over a function of real n-dimensional space, we establish a relationship between the Hausdorff dimension s and the Grunwald’s definition of order q for fractional calculus.

Original language	American English
Journal	Default journal
State	Published - Jan 1 2016

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http://fcag-egypt.com/Journals/JFCA/Vol7(1)_Papers/JFCA_Vol7(1)_Jan_2016_pp_103-106.pdf

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title = "A note on the relationship between the Hausdorff dimension and the order of Gr{\"u}nwald's definition for fractional calculus.",

abstract = " Given an iterated function system over a function of real n-dimensional space, we establish a relationship between the Hausdorff dimension s and the Grunwald{\textquoteright}s definition of order q for fractional calculus.",

author = "Leon Hardy",

note = "Hardy, L. (2016). A note on the relationship between the Hausdorff dimension and the order of Gr{\"u}nwald's definition for fractional calculus. Journal of Fractional Calculus and Applications, 7(1), 103-106.",

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N2 - Given an iterated function system over a function of real n-dimensional space, we establish a relationship between the Hausdorff dimension s and the Grunwald’s definition of order q for fractional calculus.

AB - Given an iterated function system over a function of real n-dimensional space, we establish a relationship between the Hausdorff dimension s and the Grunwald’s definition of order q for fractional calculus.

UR - https://digitalcommons.usf.edu/fac_publications/3440

UR - http://fcag-egypt.com/Journals/JFCA/Vol7(1)_Papers/JFCA_Vol7(1)_Jan_2016_pp_103-106.pdf

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A note on the relationship between the Hausdorff dimension and the order of Grünwald's definition for fractional calculus.

Abstract

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