含Caputo分数阶导数的模糊非线性分数阶微分方程的稳定性分析注记

Int. J. Math. Math. Sci. Pub Date : 2021-09-13 DOI:10.1155/2021/7488524

Ali El Mfadel, S. Melliani, M. Elomari

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引用次数: 8

摘要

本文将Lyapunov直接法从模糊普通情况推广到模糊分数情况，给出并建立了模糊非线性分数阶微分方程解的稳定性分析的一个新结果。作为应用，给出了几个算例来说明所提出的稳定性结果。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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A Note on the Stability Analysis of Fuzzy Nonlinear Fractional Differential Equations Involving the Caputo Fractional Derivative

In this paper, we present and establish a new result on the stability analysis of solutions for fuzzy nonlinear fractional differential equations by extending Lyapunov’s direct method from the fuzzy ordinary case to the fuzzy fractional case. As an application, several examples are presented to illustrate the proposed stability result.

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Int. J. Math. Math. Sci.

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