Comparison of h-Difference Fractional Operators

  • Dorota Mozyrska
  • Ewa Girejko
  • Małgorzata Wyrwas
Part of the Lecture Notes in Electrical Engineering book series (LNEE, volume 257)


We compare three different types of h-difference fractional operators: Grünwald-Letnikov, Caputo, Riemann-Liouville types of operators. There is introduced the formula for fundamental matrix of solutions for linear systems of h-difference fractional equations with Grünwald-Letnikov type operator while the one with Caputo type or Riemann-Liouville type is well known. We present new formulas for linear control systems with the mentioned operators.


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Copyright information

© Springer International Publishing Switzerland 2013

Authors and Affiliations

  • Dorota Mozyrska
    • 1
  • Ewa Girejko
    • 1
  • Małgorzata Wyrwas
    • 1
  1. 1.Bialystok University of TechnologyBiałystokPoland

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