Variation of constant formulas for fractional difference equations

Research output: Contribution to journal › Research article › Contributed › peer-review

Contributors

  • Pham The Anh - , Le Quy Don Technical University (Author)
  • Artur Babiarz - , Silesian University of Technology (Author)
  • Adam Czornik - , Silesian University of Technology (Author)
  • Michał Niezabitowski - , Silesian University of Technology, University of Silesia in Katowice (Author)
  • Stefan Siegmund - , Center for Dynamics (CfD), Chair of Dynamics and Control (Author)

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.

Details

Original languageEnglish
Pages (from-to)617-633
Number of pages17
JournalArchives of Control Sciences
Volume28
Issue number4
Publication statusPublished - 2018
Peer-reviewedYes

External IDs

ORCID /0000-0003-0967-6747/work/149795407

Keywords

ASJC Scopus subject areas

Keywords

  • Fractional difference equation, Separation of solutions, Variation of constant