Variation of constant formulas for fractional difference equations

• Autorzy: Anh P. T. , Babiarz A. , Czornik A. , Niezabitowski M. , Siegmund S.

Identyfikatory

DOI

10.24425/acs.2018.125486

• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

fractional difference equation; variation of constant; separation of solutions

• Wydawca: Polish Academy of Sciences, Committee of Automatic Control and Robotics
• Czasopismo: Archives of Control Sciences
• Rocznik: 2018
• Tom: Vol. 28, No. 4
• Strony: 617--633
• Opis fizyczny: Bibliogr. 26 poz., wzory

Twórcy

autor

Anh P. T.

• Department of Mathematics, Le Quy Don Technical University, 236 Hoang Quoc Viet, Hanoi, Vietnam

autor

Babiarz A.

• Silesian University of Technology, Faculty of Automatic Control, Electronics and Computer Science, Akademicka 16, 44-100 Gliwice, Poland

autor

Czornik A.

• Silesian University of Technology, Faculty of Automatic Control, Electronics and Computer Science, Akademicka 16, 44-100 Gliwice, Poland

autor

Niezabitowski M.

• Silesian University of Technology, Faculty of Automatic Control, Electronics and Computer Science, Akademicka 16, 44-100 Gliwice, Poland
• University of Silesia, Faculty of Mathematics, Physics and Chemistry, Institute of Mathematics, Bankowa 14, 40-007 Katowice

autor

Siegmund S.

• Technische Universität Dresden, Faculty of Mathematics, Center for Dynamics, Zellescher Weg 12-14, 01069 Dresden, Germany

Bibliografia

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Uwagi

EN

1. The research of the second and third authors was funded by the National Science Centre in Poland granted according to decisions DEC-2015/19/D/ST7/03679 and DEC-2017/25/B/ST7/02888, respectively. The research of the fourth author was supported by Polish National Agency for Academic Exchange according to the decision PPN/BEK/2018/1/00312/DEC/1. The research of the last author was partially supported by an Alexander von Humboldt Polish Honorary Research Fellowship.

PL

2. Opracowanie rekordu w ramach umowy 509/P-DUN/2018 ze środków MNiSW przeznaczonych na działalność upowszechniającą naukę (2019).