The actual state of interplay between Fractional Calculus, Signal Processing, and Applied Sciences is discussed in this paper. A framework for compatible integer and fractional derivatives/integrals in signals and systems context is described. It is shown how suitable fractional formulations are really extensions of the integer order definitions currently used in Signal Processing. The particular case of fractional linear systems is considered and the problem of initial conditions is tackled.

Original languageEnglish
Article number3
Pages (from-to)1-13
Number of pages13
JournalFractal and Fractional
Issue number1
Publication statusPublished - 2017


  • Compatibility
  • Fractional derivatives
  • Fractional linear systems


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