Some results on linear nabla Riemann-Liouville 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)
  • Michal Niezabitowski - , Silesian University of Technology (Author)
  • Stefan Siegmund - , Chair of Dynamics and Control, Center for Dynamics (CfD) (Author)

Abstract

In this paper, we establish some criteria for boundedness, stability properties, and separation of solutions of autonomous nonlinear nabla Riemann-Liouville scalar fractional difference equations. To derive these results, we prove the variation of constants formula for nabla Riemann-Liouville fractional difference equations.

Details

Original languageEnglish
Pages (from-to)7815-7824
Number of pages10
JournalMathematical Methods in the Applied Sciences
Volume43
Issue number13
Publication statusPublished - 15 Sept 2020
Peer-reviewedYes

External IDs

ORCID /0000-0003-0967-6747/work/172571565

Keywords

ASJC Scopus subject areas

Keywords

  • fractional difference equations, Lyapunov exponent, nabla Riemann-Liouville difference