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.
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Mozyrska, D., Girejko, E., Wyrwas, M. (2013). Comparison of h-Difference Fractional Operators. In: Mitkowski, W., Kacprzyk, J., Baranowski, J. (eds) Advances in the Theory and Applications of Non-integer Order Systems. Lecture Notes in Electrical Engineering, vol 257. Springer, Heidelberg. https://doi.org/10.1007/978-3-319-00933-9_17
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DOI: https://doi.org/10.1007/978-3-319-00933-9_17
Publisher Name: Springer, Heidelberg
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