Rhapsody in fractional

J. Machado, António Lopes, Fernando Duarte, Manuel Ortigueira, Raul Rato
2014 Fractional Calculus and Applied Analysis  
AbstractThis 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.
doi:10.2478/s13540-014-0206-0 fatcat:x4tzj5cnkzcxrenh3zf76d42ha