分数阶nabla差分方程系统的Mittag-leffler稳定性

IF 0.6 4区数学 Q3 MATHEMATICS

Bulletin of the Korean Mathematical Society Pub Date : 2019-01-01 DOI:10.4134/BKMS.B180749

P. Eloe, J. Jonnalagadda

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引用次数: 11

摘要

定义了非线性分数阶nabla差分系统的Mittag-Leffler稳定性，并利用Lyapunov直接方法给出了系统非线性分数阶nabla差分方程零解的Mittag-Leffler稳定性和某些情况下零解的稳定性的充分条件。为此，我们得到了分数阶纳布拉微积分的指数函数和单参数Mittag-Leffler函数的几个性质。给出了两个例子来说明所建立的结果的适用性。

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MITTAG-LEFFLER STABILITY OF SYSTEMS OF FRACTIONAL NABLA DIFFERENCE EQUATIONS

Mittag-Leffler stability of nonlinear fractional nabla difference systems is defined and the Lyapunov direct method is employed to provide sufficient conditions for Mittag-Leffler stability of, and in some cases the stability of, the zero solution of a system nonlinear fractional nabla difference equations. For this purpose, we obtain several properties of the exponential and one parameter Mittag-Leffler functions of fractional nabla calculus. Two examples are provided to illustrate the applicability of established results.

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来源期刊

Bulletin of the Korean Mathematical Society 数学-数学

CiteScore

0.80

自引率

20.00%

发文量

审稿时长

6 months

期刊介绍： This journal endeavors to publish significant research of broad interests in pure and applied mathematics. One volume is published each year, and each volume consists of six issues (January, March, May, July, September, November).