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Variation of constant formulas for fractional difference equations

Anh, P.T. and Babiarz, A. and Czornik, A. and Niezabitowski, M. and Siegmund, S. (2018) Variation of constant formulas for fractional difference equations. Archives of Control Sciences, 28 (4). pp. 617-633. ISSN 12302384

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Abstract

In this paper, we establish variation of constant formulas for both Caputo and Riemann-Liouville fractional difference equations. The main technique is the Z -transform. As an application, we prove a lower bound on the separation between two different solutions of a class of nonlinear scalar fractional difference equations. © 2018 Polish Academy of Sciences. All Rights Reserved.

Item Type: Article
Divisions: Faculties > Faculty of Information Technology
Identification Number: 10.24425/acs.2018.125486
Uncontrolled Keywords: Difference equations; Z transforms; Liouville; Lower bounds; Variation of constant; Nonlinear equations
Additional Information: Language of original document: English.
URI: http://eprints.lqdtu.edu.vn/id/eprint/9600

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