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Stability and dynamics of neutral and integro-differential regularized Prabhakar fractional differential systems
Computational and Applied Mathematics ( IF 2.998 ) Pub Date : 2020-08-18 , DOI: 10.1007/s40314-020-01296-3
Shiva Eshaghi , Reza Khoshsiar Ghaziani , Alireza Ansari

In this work, we investigate the asymptotic stability analysis for two classes of nonlinear fractional systems with the regularized Prabhakar derivative. The stability analysis of the neutral and integro-differential nonlinear fractional systems are studied by assessing the eigenvalues of associated matrix and applying conditions on the nonlinear part of these types of systems. We use a numerical method to solve the fractional differential equations with the regularized Prabhakar fractional derivative. We further present the numerical simulations on several test cases to examine and reveal the complex dynamics of the analytical obtained results.

中文翻译:

中立和积分微分正则Prabhakar分数阶微分系统的稳定性和动力学

在这项工作中,我们研究带有正则化Prabhakar导数的两类非线性分数系统的渐近稳定性分析。通过评估相关矩阵的特征值,并在这些类型的系统的非线性部分上应用条件,研究了中立和积分-微分非线性系统的稳定性分析。我们使用数值方法用正则化的Prabhakar分数阶导数求解分数阶微分方程。我们进一步介绍了几个测试案例的数值模拟,以检查并揭示所获得分析结果的复杂动态。
更新日期:2020-08-18
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