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Some results on linear nabla Riemann‐Liouville fractional difference equations
Author(s) -
The Anh Pham,
Babiarz Artur,
Czornik Adam,
Niezabitowski Michal,
Siegmund Stefan
Publication year - 2020
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.6337
Subject(s) - mathematics , nabla symbol , mathematical analysis , riemann problem , riemann hypothesis , pure mathematics , omega , physics , quantum mechanics
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.