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Content available Linearized asymptotic stability for nabla Riemann-Liouville fractional difference equation
Anh Pham The, Czornik Adam, Niezabitowski Michał
Archives of Control Sciences
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2024
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Vol. 34, No. 3
569--588
EN
In this paper, we present a theorem about stability of nonlinear fractional difference equation with Riemann-Liouvile difference operator. The result is a version of classical theorem on linear approximation and to derive them, we prove the variation of constants formula for nabla
Riemann-Liouville fractional difference equations. We also present some results concerning the existence and uniqueness of the equation under consideration.
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