Anh, P.T. and Babiarz, A. and Czornik, A. and Niezabitowski, M. and Siegmund, S. (2019) Asymptotic properties of discrete linear fractional equations. Bulletin of the Polish Academy of Sciences: Technical Sciences, 67 (4). pp. 749-759. ISSN 2397528
03. Asymptotic properties of discrete linear fractional equations.pdf
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Abstract
In this paper we study the dynamical behavior of linear discrete-time fractional systems. The first main result is that the norm of the difference of two different solutions of a time-varying discrete-time C'aputo equation tends to zero not faster than polynomially. The second main result is a complete description of the decay to zero of the trajectories of one-dimensional time-invariant stable C'aputo and Riemann-Liouville equations. Moreover, we present Volterra convolution equations, that are equivalent to Caputo and Riemann-Liouvile equations and we also show an explicit formula for the solution of systems of time-invariant Caputo equations. © 2019 Polish Academy of Sciences. All rights reserved.
Item Type: | Article |
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Divisions: | Faculties > Faculty of Information Technology |
Identification Number: | 10.24425/bpasts.2019.130184 |
Uncontrolled Keywords: | Convergence of numerical methods; Convolution; Asymptotic properties; Caputo equation; Convolution equations; Dynamical behaviors; Explicit formula; Fractional equation; Fractional systems; Time invariants; Liouville equation |
Additional Information: | Language of original document: English. |
URI: | http://eprints.lqdtu.edu.vn/id/eprint/9434 |