Approximate Controllability of Nonlocal Fractional Control System

IF 1.9 3区数学 Q1 MATHEMATICS

Qualitative Theory of Dynamical Systems Pub Date : 2024-07-05 DOI:10.1007/s12346-024-01091-z

Kamla Kant Mishra, Shruti Dubey

引用次数: 0

Abstract

In this paper, we aim to find a mild solution for a delay control system described by nonlinear fractional evolution differential equations in Banach spaces while being subjected to nonlocal conditions. Further, we explore the sufficient conditions for the approximate controllability of the nonlinear fractional control system, assuming that the associated linear system is approximately controllable. We provide some applications at the end to demonstrate our proposed results.

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非局部分数控制系统的近似可控性

本文旨在为巴拿赫空间中由非线性分数演化微分方程描述的延迟控制系统找到温和的解决方案，同时使其受到非局部条件的限制。此外，我们还探讨了非线性分数控制系统近似可控性的充分条件，前提是相关线性系统是近似可控的。最后，我们提供了一些应用来证明我们提出的结果。

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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来源期刊

Qualitative Theory of Dynamical Systems MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

2.50

自引率

14.30%

发文量

130

期刊介绍： Qualitative Theory of Dynamical Systems (QTDS) publishes high-quality peer-reviewed research articles on the theory and applications of discrete and continuous dynamical systems. The journal addresses mathematicians as well as engineers, physicists, and other scientists who use dynamical systems as valuable research tools. The journal is not interested in numerical results, except if these illustrate theoretical results previously proved.