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最优和全可控性方法的非瞬时 Hilfer 分数导数与积分边界条件。

Optimal and total controllability approach of non-instantaneous Hilfer fractional derivative with integral boundary condition.

机构信息

Department of Mathematics, College of Science and Humanities in Alkharj, Prince Sattam bin Abdulaziz University, Alkharj, Saudi Arabia.

Department of Mathematics, School of Advanced Sciences, Vellore Institute of Technology, Vellore, Tamil Nadu, India.

出版信息

PLoS One. 2024 Feb 28;19(2):e0297478. doi: 10.1371/journal.pone.0297478. eCollection 2024.

DOI:10.1371/journal.pone.0297478
PMID:38416756
原文链接:https://pmc.ncbi.nlm.nih.gov/articles/PMC10901338/
Abstract

The focus of this work is on the absolute controllability of Hilfer impulsive non-instantaneous neutral derivative (HINND) with integral boundary condition of any order. Total controllability refers to the system's ability to be controlled during the impulse time. Kuratowski measure and semigroup theory in Banach space yield the results. Furthermore, we talked about optimal controllability in conjunction with appropriate limitations. Our established outcomes are described using an example.

摘要

这项工作的重点是具有任意阶积分边界条件的 Hilfer 脉冲非瞬时中立导数（HINND）的绝对可控性。完全可控性是指系统在脉冲时间内可被控制的能力。该结果基于巴拿赫空间中的 Kuratowski 测度和半群理论。此外，我们还结合适当的限制条件讨论了最优可控性。我们的研究结果通过一个例子进行了说明。