Below you may find some links to web resources dedicated to fractional-order calculus and its applications. If you would like to see a link to your fractional calculus related web resource here, please send an e-mail to

General links

Matlab toolboxes


  1. Ramin
    Posted November 17, 2014 at 13:08 | Permalink

    Dear Aleksei

    I appreciate your efforts for designing such a magnificent toolbox. Could you please tell how you utilized filtfilt command in identification of thermal system, example 6.2.2 of tour thesis. In fact, I am working on fractional system identification of electrical furnace, and the problem is here that the error signal is very noticeable, the difference between integer system and fractional one. It came in my mind that the input data had been ‘detrend’ed in MATLAB. When I was trying to consist ‘fidata’, there is no ‘detrend’ procedure, so my conclusion is that that is the source of this noticeable error.

    thanks in advance

    • Posted November 17, 2014 at 16:56 | Permalink

      Here are two points.
      1. filtfilt was used to remove the noise from the measurement. This is not, strictly speaking, necessary.
      2. In the identification procedure we assume, that the state is initially zero. So if there is an offset (e.g. environment temperature), it should be removed, but, of course, considered in the model!

  2. dikson2016
    Posted February 1, 2016 at 11:33 | Permalink

    Dear Aleksei

    Do you have any example(s) of FOID for power electronics – Boost, Buck or Inverter converter dynamic behaviour (Bifurcation and Chaos mapping)?

    • Posted February 1, 2016 at 12:58 | Permalink

      I have seen your question in another comment thread, but did not have time to answer; No, I do not have any examples from this particular field yet. We have research plans covering this, though. Hopefully, you will see some updates soon.

  3. dikson2016
    Posted February 1, 2016 at 12:33 | Permalink

    More closely related to Complex Behavior in Switching Power Converters.

  4. vallutla
    Posted May 22, 2016 at 08:22 | Permalink

    Dear Aleksei
    How to convert Oustaloup approximated transfer function into first order plus time delay model

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