Anh, P.T. and Czornik, A. and Niezabitowski, M. (2024) Linearized asymptotic stability for nabla Riemann-Liouville fractional difference equation. Archives of Control Sciences, 34 (3). pp. 569-588.
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Abstract
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. © 2024. The Author(s).
| Item Type: | Article |
|---|---|
| Divisions: | Offices > Office of International Cooperation |
| Identification Number: | 10.24425/acs.2024.149672 |
| Uncontrolled Keywords: | Asymptotic stability; Choquet integral; Difference equations; Mathematical operators; Nonlinear equations, Asymptotics; Classical theorems; Difference operators; Linear approximations; Liouville; Nablum riemann-liouville fractional difference equation; Riemann-liouville difference operator; Stability of nonlinear fractional difference equation; Variation of constants formulas, Liouville equation |
| URI: | http://eprints.lqdtu.edu.vn/id/eprint/11414 |
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