On the initial conditions in continuous-time fractional linear systems

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The initial condition problem for fractional linear system initialisation is studied in this paper. It is based on the generalised initial value theorem. The new approach involves functions belonging to the space of Laplace transformable distributions verifying the Watson-Doetsch lemma. The fractional derivatives of these functions are independent of the derivative definition. This class includes the most important functions appearing in computing the Impulse Response of continuous-time fractional linear systems.

Original languageEnglish
Pages (from-to)2301-2309
Number of pages9
JournalSignal Processing
Issue number11
Publication statusPublished - Nov 2003


  • Fractional differintegration
  • Initial value problem


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