On the asymptotic stability of linear system of fractional-order difference equations
By Raghib M. Abu-Saris, Q. Al‐Mdallal. 2013
124 citations recorded by the source corpus.
In this paper we investigate the stability of the equilibrium solution of the νth order linear system of difference equations $(\Delta _{a + \nu - 1}^\nu y)(t) = \Lambda y(t + \nu - 1);t \in \mathbb{N}_a ,a \in \mathbb{R},and\Lambda \in \mathbb{R}^{p \times p} ,$ subject to the initial condition $y(a + \nu - 1) = y - 1,$, where 0 < ν < 1 and y−1 ∈ ℝp.
Subfields: Applied Mathematics, Modeling and Simulation, Public Health, Environmental and Occupational Health
View Paper: https://www.semanticscholar.org/paper/96d805189ea6ed3f5a8bef48412fd196a3deeb88
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In Applied Mathematics
In Modeling and Simulation
In Public Health, Environmental and Occupational Health
Citations in the corpus
- On explicit stability conditions for a linear fractional difference system (2015, methodology): “A partial answer to this problem was provided by the paper [2] where the authors characterized the asymptotic stability property of (1.”
- The -Transform Method and Delta Type Fractional Difference Operators (2015, methodology): “More classical solution of the problem is also presented in [29], where the authors use the Z-transform to give the conditions for stability of systems with the Caputo-type operator.”
- A Convergent Algorithm for Solving Higher-Order Nonlinear Fractional Boundary Value Problems (2015, unknown): “see, by way of example not exhaustive enumeration, [1], [2], [7], [9], [12], [13], [16], [20], [21], [22], [24], [28], [31], [32], [41], [43], [37], [44] and the many references therein.”