Atangana-Baleanu分数阶演化方程的可解性:一个积分承包者方法

IF 2.6 3区数学 Q1 MATHEMATICS, APPLIED

Nonlinear Analysis-Modelling and Control Pub Date : 2023-04-27 DOI:10.15388/namc.2023.28.31801

Renu Chaudhary, S. Reich

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引用次数: 0

摘要

给出了Atangana-Baleanu分数阶演化方程温和解的存在性和可控性结果。我们利用有界积分承包者和排序技术证明了我们的结果。与现有文献相比，为了建立我们的可控性结果，我们不需要定义可控性算子的诱导逆，相关的非线性函数也不一定满足Lipschitz条件。此外，我们还建立了弹道可控性结果。最后，我们讨论了一个应用，说明了我们的结果。

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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On the solvability of the Atangana–Baleanu fractional evolution equations: An integral contractor approach

We present existence and controllability results for mild solutions to the Atangana–Baleanu fractional evolution equations. We prove our results by applying bounded integral contractors and a sequencing technique. In contrast to the papers available in the literature, in order to establish our controllability results, we need not define the induced inverse of the controllability operator, and the pertinent nonlinear function need not necessarily satisfy a Lipschitz condition. In addition, we also establish trajectory controllability results. Finally, we discuss an application, which illustrates our results.

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来源期刊

Nonlinear Analysis-Modelling and Control MATHEMATICS, APPLIED-MATHEMATICS, INTERDISCIPLINARY APPLICATIONS

CiteScore

3.80

自引率

10.00%

发文量

审稿时长

9.6 months

期刊介绍： The scope of the journal is to provide a multidisciplinary forum for scientists, researchers and engineers involved in research and design of nonlinear processes and phenomena, including the nonlinear modelling of phenomena of the nature. The journal accepts contributions on nonlinear phenomena and processes in any field of science and technology. The aims of the journal are: to provide a presentation of theoretical results and applications; to cover research results of multidisciplinary interest; to provide fast publishing of quality papers by extensive work of editors and referees; to provide an early access to the information by presenting the complete papers on Internet.