Analysis of a Multiple-Rational-Order Fractional Differential System with Riemann-Liouville Derivative

机译：Riemann-Liouville导数的多阶分数阶微分系统的分析

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The present paper deals with the multiple-rational-order (MRO) fractional differential system equipped with Riemann-Liouville derivative. At .rst, by using the properties of the Riemann-Liouville derivative operator and the fractional integral operator, together with the generalized fractional derivative, we can change the MRO fractional differential system whose the fractional order is any rational into a higher-dimensional system with the same order lying in (0, 1). Second, the stability analysis of linear nonautonomous MRO fractional differential system is given through its equivalent same-order system. Finally, several examples are provided to illustrate the results in this paper.

机译：本文研究了配备Riemann-Liouville导数的多理性分数阶微分系统。首先，利用Riemann-Liouville导数和分数积分算子的性质，再结合广义分数导数，我们可以将分数阶为任意有理数的MRO分数微分系统更改为具有相同的顺序位于（0，1）。其次，通过线性非自治MRO分数阶微分系统的等效等阶系统，给出了系统的稳定性分析。最后，提供了一些示例来说明本文的结果。

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来源
《Proceedings of the Fifth symposium on fractional differentiation and its applications》|2012年|1-8|共8页
会议地点 Nanjing(CN)
作者
Fengrong Zhang; Changpin Li;
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作者单位

Department of Mathematics, Shanghai University, Shanghai 200444,China;

Department of Mathematics, Shanghai University, Shanghai 200444,China;

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会议组织
原文格式 PDF
正文语种 eng
中图分类数学;
关键词
Riemann-Liouville derivative; generalized fractional derivative; multiple-rational-order fractional differential system; equivalent system; stability.;

机译：Riemann-Liouville导数；广义分数阶导数；多理性分数阶微分系统；等价系统；稳定性。;

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Analysis of a Multiple-Rational-Order Fractional Differential System with Riemann-Liouville Derivative

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