Rhapsody in Fractional


Autoria(s): Machado, J. A. Tenreiro; Lopes, António; Duarte, Fernando; Ortigueira, Manuel; Rato, Raul
Data(s)

19/11/2015

19/11/2015

2014

Resumo

This paper studies several topics related with the concept of “fractional” that are not directly related with Fractional Calculus, but can help the reader in pursuit new research directions. We introduce the concept of non-integer positional number systems, fractional sums, fractional powers of a square matrix, tolerant computing and FracSets, negative probabilities, fractional delay discrete-time linear systems, and fractional Fourier transform.

Identificador

http://hdl.handle.net/10400.22/6927

10.2478/s13540-014-0206-0

Idioma(s)

eng

Publicador

De Gruyter

Relação

Fractional Calculus and Applied Analysis;Vol. 17, Issue 4

http://www.degruyter.com/view/j/fca.2014.17.issue-4/s13540-014-0206-0/s13540-014-0206-0.xml

Direitos

openAccess

Palavras-Chave #Positional number systems #Fractional sums #Matrix power #Matrix root #Tolerant computing #Negative probability #Fractional delay #Difference equations #Fractional Fourier transform
Tipo

article