Chapter

Advances in the Theory and Applications of Non-integer Order Systems

Volume 257 of the series Lecture Notes in Electrical Engineering pp 191-197

Comparison of h-Difference Fractional Operators

  • Dorota MozyrskaAffiliated withBialystok University of Technology Email author 
  • , Ewa GirejkoAffiliated withBialystok University of Technology
  • , Małgorzata WyrwasAffiliated withBialystok University of Technology

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Abstract

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.