带非局部条件的 Sobolev 型 Volterra-Fredholm 函数积分微分方程可控性新探

Q3 Mathematics

Results in Control and Optimization Pub Date : 2024-04-07 DOI:10.1016/j.rico.2024.100418

E. Thilakraj , K. Kaliraj , C. Ravichandran , M. Manjula

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引用次数: 0

摘要

本文通过阿坦加纳-巴莱亚努-卡普托（Atangana-Baleanu Caputo，ABC）导数分析了索波列夫型伏特拉-弗雷德霍姆函数积分微分方程（SVFIDE）的可控性标准。主要成果是利用非紧凑性度量、半群理论、收缩原理和具有非局部条件的 Darbo 定点技术等概念建立起来的。最后还提供了一个示例来演示分析结果。

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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New investigation on controllability of sobolev-type Volterra-Fredholm functional integro-differential equation with non-local condition

In this article, we analyse the controllability criteria on sobolev-type Volterra-Fredholm functional Integro-differential Equations (SVFIDE) via Atangana–Baleanu Caputo (ABC) derivative. The primary outcomes was established by utlising the concepts on the measure of noncompactness, semigroup theory, the contraction principle and Darbo fixed point technique with nonlocal condition. An illustrative example to demonstrate the analytical result is provided at the end.

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来源期刊

Results in Control and Optimization Mathematics-Control and Optimization

CiteScore

3.00

自引率

0.00%

发文量

审稿时长

91 days