Recursive-operational method to solve fractional linear systems

G. Bengochea, M. Ortigueira

Research output: Contribution to journalArticlepeer-review


A method for solving fractional linear systems is presented. The method is based on an algebraic version of the usual generalized convolution. It does not need any transform and only requires that the fractional derivative is defined on the real line. The algorithm proceeds in a recursive way in the sense that it allows to add or remove (pseudo-) pole/zero contributions without having to remake all the computations. Some examples illustrate the behavior of the algorithm.

Original languageEnglish
JournalComputers and Mathematics with Applications
Publication statusAccepted/In press - 2016


  • Fractional linear systems
  • Operational calculus
  • Recursive algorithm


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