高阶非线性分数阶微分方程的稳定性

IF 0.3 Q4 MATHEMATICS Acta et Commentationes Universitatis Tartuensis de Mathematica Pub Date : 2018-06-10 DOI:10.12697/ACUTM.2018.22.04

A. Ardjouni, Hamid Boulares, Y. Laskri

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引用次数: 5

摘要

给出了一类高阶非线性分数阶微分方程零解渐近稳定的充分条件。利用加权Banach空间中的Krasnoselskii的杂点定理，建立了当f (t, 0) = 0时零解的渐近稳定性的新结果。这里得到的结果推广了葛和寇的工作。

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Stability in higher-order nonlinear fractional differential equations

We give sufficient conditions to guarantee the asymptotic stability of the zero solution to a kind of higher-order nonlinear fractional differential equations. By using Krasnoselskii's xed point theorem in a weighted Banach space, we establish new results on the asymptotic stability of the zero solution provided that f (t, 0) = 0. The results obtained here generalize the work of Ge and Kou.

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