Rhapsody in fractional

• Type: Article in International Scientific Journal
• Date: 2014

Authors

Jose Tenreiro Machado (Author) Other; António Mendes Lopes (Author) FEUP; Fernando B. Duarte (Author) Other; Manuel D. Ortigueira (Author) Other; Raul T. Rato (Author) Other

Journal

Title: Fractional Calculus and Applied Analysis

Vol. 17

Pages: 1188-1214

ISSN: 1311-0454

Publisher: Walter De Gruyter

Indexing

ISI Web of Knowledge - 32 Citations

ISI Web of Science

Scopus - 36 Citations

Scientific classification

FOS: Engineering and technology

Other information

Authenticus ID: P-009-TF9

DOI: 10.2478/s13540-014-0206-0

Abstract (EN): 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.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 27