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Fractional calculus - uses, examples?

  1. Oct 30, 2011 #1
    Does anyone know any applications / uses for fractional derivatives and integrals?

    I supposed the idea and asked a professor, he tried to explain fractional calculus to me, but I was in calculus 2 at the time... so it was way over my head back then. I asked him what it could be used for and he didn't really give me an answer, just that it was too complex to explain lol.

    Now, 3 years later, I'm looking back on it and wondering what a fractional derivative can be interpreted as, and what it could be used for. Anyone have some insight?
     
  2. jcsd
  3. Oct 30, 2011 #2

    pwsnafu

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    Way too many to count. What interests you?

    We have three specialized journals:
    1. Fractional Calculus and Applied Analysis
    2. Fractional Differential Equations
    3. Communications in Fractional Calculus.
    Of which the second is applications based.

    I highly recommend Podlubny's book Fractional Differential Equations, or West's book Physics of Fractal Operators as they both have a chapter on applications. Also http://people.tuke.sk/igor.podlubny/fc_resources.html" [Broken] is really good place to start.
     
    Last edited by a moderator: May 5, 2017
  4. Oct 30, 2011 #3
    Thanks, I'll check those out.

    I think asking how to use it is too broad of a question,
    is there like a specific physics problem where you need to use it?
     
  5. Oct 31, 2011 #4
    Some references are provided page 5 in a paper written for general public "La dérivation fractionnaire" :
    http://www.scribd.com/JJacquelin/documents
    (Sorry, not translated yet).
    There are a lot of applications for fractionnal calculus. One of them is the genertalization of the basic physical notions of Inductance, Resistance, Capacitance. A very useful generalization for the calculus of impedance of some electrical networks, especialy in case of presence of CPE in it (Constant Phase Element) :
     

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