Overview of Fractional h-difference Operators

  • Dorota Mozyrska
  • Ewa Girejko
Conference paper
Part of the Operator Theory: Advances and Applications book series (OT, volume 229)


Fractional difference operators and their properties are discussed. We give a characterization of three operators that we call Grünwald-Letnikov, Riemann-Liouville and Caputo like difference operators. We show relations among them. In the paper, linear fractional h-difference equations are described. We give formulas of solutions to initial value problems. Crucial formulas are gathered in the tables presented in the last section of the paper.


Fractional difference operator fractional difference equation fractional derivative. 


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© Springer Basel 2013

Authors and Affiliations

  1. 1.Faculty of Computer ScienceBiałystok University of TechnologyBiałystokPoland

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