脉冲Hilfer分数阶积分-微分内含的最优控制和可控性定理及其数值应用

IF 5.9 2区工程技术 Q1 ENGINEERING, MULTIDISCIPLINARY

Ain Shams Engineering Journal Pub Date : 2025-09-10 DOI:10.1016/j.asej.2025.103741

Hasanen A. Hammad , Tarek Aboelenen , Manal Elzain Mohamed Abdalla

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引用次数: 0

摘要

本文研究了具有脉冲效应的Hilfer分数阶积分微分包体。在分数阶导数增强的建模能力的支持下，我们建立了这些方程解的存在性和可控性结果。我们的分析结合了不动点定理、分数微积分和集值分析。此外，我们证明了系统的近似可控性，强调了其达到任何期望目标状态的能力。我们通过对部分控制系统应用的研究来强调我们的理论结果的实际相关性。最后，我们给出了一个数值实验来逼近所提出问题的解。

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Optimal control and controllability theorems for impulsive Hilfer fractional integro-differential inclusions with numerical applications

In this paper, we investigate Hilfer fractional integro-differential inclusions with impulsive effects. Supported by the enhanced modeling capabilities of fractional derivatives, we establish existence and controllability results for solutions to these equations. Our analysis employs a combination of fixed-point theorems, fractional calculus, and set-valued analysis. Furthermore, we demonstrate the approximate controllability of the system, underscoring its capacity to attain any desired target state. We emphasize the practical relevance of our theoretical results through an investigation into an application to a partial control system. Finally, we present a numerical experiment for approximating the solution of the proposed problem.

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来源期刊

Ain Shams Engineering Journal Engineering-General Engineering

CiteScore

10.80

自引率

13.30%

发文量

441

审稿时长

49 weeks

期刊介绍： in Shams Engineering Journal is an international journal devoted to publication of peer reviewed original high-quality research papers and review papers in both traditional topics and those of emerging science and technology. Areas of both theoretical and fundamental interest as well as those concerning industrial applications, emerging instrumental techniques and those which have some practical application to an aspect of human endeavor, such as the preservation of the environment, health, waste disposal are welcome. The overall focus is on original and rigorous scientific research results which have generic significance. Ain Shams Engineering Journal focuses upon aspects of mechanical engineering, electrical engineering, civil engineering, chemical engineering, petroleum engineering, environmental engineering, architectural and urban planning engineering. Papers in which knowledge from other disciplines is integrated with engineering are especially welcome like nanotechnology, material sciences, and computational methods as well as applied basic sciences: engineering mathematics, physics and chemistry.