Abstract
The paper presents some properties of the discrete Mittag-Leffler two parameter function. The extension of the Putzer algorithm onto linear linear fractional order systems is given. This algorithm allows to find the general solution of linear fractional order systems. The problem of approximation of the solutions to fractional linear differential equation with Caputo operator by the solutions to fractional difference equations using the Putzer algorithm is considered.
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Acknowledgments
The work was supported by Bialystok University of Technology according to the grant no. S/WM/1/2016.
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Pawłuszewicz, E. (2017). Remarks on Mittag-Leffler Discrete Function and Putzer Algorithm for Fractional h-Difference Linear Equations. In: Babiarz, A., Czornik, A., Klamka, J., Niezabitowski, M. (eds) Theory and Applications of Non-integer Order Systems. Lecture Notes in Electrical Engineering, vol 407. Springer, Cham. https://doi.org/10.1007/978-3-319-45474-0_9
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DOI: https://doi.org/10.1007/978-3-319-45474-0_9
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