Abstract
The Caputo- and Riemann–Liouville–type fractional order difference initial value problems for linear and semilinear equations are discussed. We take under our consideration the possible solution via the classical \(\mathcal{Z}\)-transform method for any positive order. We stress the formulas that used the concept of discrete Mittag–Leffler fractional function.
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Mozyrska, D., Wyrwas, M. (2015). Fractional Linear Equations with Discrete Operators of Positive Order. In: Latawiec, K., Łukaniszyn, M., Stanisławski, R. (eds) Advances in Modelling and Control of Non-integer-Order Systems. Lecture Notes in Electrical Engineering, vol 320. Springer, Cham. https://doi.org/10.1007/978-3-319-09900-2_5
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DOI: https://doi.org/10.1007/978-3-319-09900-2_5
Publisher Name: Springer, Cham
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