Controllability Criteria for Nonlinear Impulsive Fractional Differential Systems with Distributed Delays in Controls

IF 1.9 Q2 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS

Mathematical & Computational Applications Pub Date : 2023-01-15 DOI:10.3390/mca28010013

A. Debbouche, B. Vadivoo, V. Fedorov, V. Antonov

引用次数: 0

Abstract

We establish a class of nonlinear fractional differential systems with distributed time delays in the controls and impulse effects. We discuss the controllability criteria for both linear and nonlinear systems. The main results required a suitable Gramian matrix defined by the Mittag–Leffler function, using the standard Laplace transform and Schauder fixed-point techniques. Further, we provide an illustrative example supported by graphical representations to show the validity of the obtained abstract results.

查看原文本刊更多论文

具有分布时滞的非线性脉冲分数阶微分系统的可控性准则

我们建立了一类在控制和脉冲效应下具有分布时滞的非线性分数阶微分系统。我们讨论了线性和非线性系统的可控性准则。主要结果需要使用标准拉普拉斯变换和Schauder定点技术，由Mittag–Leffler函数定义一个合适的Gramian矩阵。此外，我们提供了一个由图形表示支持的说明性示例，以显示所获得的抽象结果的有效性。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

求助全文

约1分钟内获得全文求助全文

来源期刊

Mathematical & Computational Applications MATHEMATICS, INTERDISCIPLINARY APPLICATIONS-

自引率

10.50%

发文量

审稿时长

12 weeks

期刊介绍： Mathematical and Computational Applications (MCA) is devoted to original research in the field of engineering, natural sciences or social sciences where mathematical and/or computational techniques are necessary for solving specific problems. The aim of the journal is to provide a medium by which a wide range of experience can be exchanged among researchers from diverse fields such as engineering (electrical, mechanical, civil, industrial, aeronautical, nuclear etc.), natural sciences (physics, mathematics, chemistry, biology etc.) or social sciences (administrative sciences, economics, political sciences etc.). The papers may be theoretical where mathematics is used in a nontrivial way or computational or combination of both. Each paper submitted will be reviewed and only papers of highest quality that contain original ideas and research will be published. Papers containing only experimental techniques and abstract mathematics without any sign of application are discouraged.