A study on the controllability of Atangana–Baleanu Caputo fractional neutral differential equations with delay

IF 5.6 1区数学 Q1 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS

Chaos Solitons & Fractals Pub Date : 2025-10-07 DOI:10.1016/j.chaos.2025.117365

Sadam Hussain , Muhammad Sarwar , Syed Khayyam Shah , Kamaleldin Abodayeh , Khursheed J. Ansari , Chanon Promsakon , Thanin Sitthiwirattham

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引用次数: 0

Abstract

In this paper, we demonstrate the controllability of semilinear neutral differential equations with impulses and delays, governed by the Atangana–Baleanu (AB) Caputo fractional derivative (FD). We establish sufficient conditions for controllability by combining semigroup theory with Darbo’s fixed point theorem. The fractional-order derivative offers a more accurate representation of memory and hereditary effects, thereby enhancing the understanding of system dynamics. The challenges posed by impulsive effects and time delays are addressed using the measure of noncompactness. Two examples are presented to ensure the effectiveness and applicability of the proposed method in supporting the theoretical results. This study provides practical insights and introduces a novel analytical framework for handling complex systems described by fractional dynamics, with potential applications in engineering and physics.

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具有时滞的Atangana-Baleanu Caputo分数中立型微分方程的可控性研究

本文证明了一类具有脉冲和时滞的半线性中立型微分方程的可控性，该方程由Atangana-Baleanu (AB) Caputo分数阶导数（FD）控制。将半群理论与Darbo不动点定理相结合，建立了可控性的充分条件。分数阶导数提供了记忆和遗传效应的更准确的表示，从而增强了对系统动力学的理解。利用非紧性度量来解决脉冲效应和时滞带来的挑战。通过两个算例验证了所提方法在支持理论结果方面的有效性和适用性。这项研究提供了实用的见解，并引入了一种新的分析框架，用于处理由分数动力学描述的复杂系统，在工程和物理学中具有潜在的应用前景。

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

Chaos Solitons & Fractals 物理-数学跨学科应用

CiteScore

13.20

自引率

10.30%

发文量

1087

审稿时长

9 months

期刊介绍： Chaos, Solitons & Fractals strives to establish itself as a premier journal in the interdisciplinary realm of Nonlinear Science, Non-equilibrium, and Complex Phenomena. It welcomes submissions covering a broad spectrum of topics within this field, including dynamics, non-equilibrium processes in physics, chemistry, and geophysics, complex matter and networks, mathematical models, computational biology, applications to quantum and mesoscopic phenomena, fluctuations and random processes, self-organization, and social phenomena.