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Stability Analysis of Fractional Differential Systems with Order Lying in (1, 2)

Stability Analysis of Fractional Differential Systems with Order Lying in (1, 2)

The stability of -dimensional linear fractional differential systems with commensurate order and the corresponding perturbed systems is 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.