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On the asymptotic stability of linear system of fractional-order difference equations

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Abstract

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.

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Authors and Affiliations

  1. Richard W. Riley College of Education and Leadership, Walden University, 155, 5th Ave S., Minneapolis, MN, 55401, USA

    Raghib Abu-Saris

  2. Department of Mathematical Sciences, College of Science, United Arab Emirates University, Al Ain, PO Box, 17551, UAE

    Qasem Al-Mdallal

Authors
  1. Raghib Abu-Saris
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  2. Qasem Al-Mdallal
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Correspondence to Raghib Abu-Saris.

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Abu-Saris, R., Al-Mdallal, Q. On the asymptotic stability of linear system of fractional-order difference equations. fcaa 16, 613–629 (2013). https://doi.org/10.2478/s13540-013-0039-2

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  • DOI: https://doi.org/10.2478/s13540-013-0039-2

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