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Stability analysis of fractional differential systems with order lying in \((1, 2)\). (English) Zbl 1219.34012

Summary: The stability of \(n\)-dimensional linear fractional differential systems with commensurate order \(1 < \alpha < 2\) and the corresponding perturbed systems are investigated. By using the Laplace transform, the asymptotic expansion of the Mittag-Leffler function, and the Gronwall inequality, some conditions on stability and asymptotic stability are given.

MSC:

34A08 Fractional ordinary differential equations
34A30 Linear ordinary differential equations and systems
34D20 Stability of solutions to ordinary differential equations
34D15 Singular perturbations of ordinary differential equations
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