1阶Caputo分数阶半变不等式的近似可控性结果分析r & lt;2 .使用扇区运算符

IF 2.6 3区数学 Q1 MATHEMATICS, APPLIED

Nonlinear Analysis-Modelling and Control Pub Date : 2023-10-25 DOI:10.15388/namc.2023.28.33429

Marimuthu Mohan Raja, Velusamy Vijayakumar, Juan J. Nieto, Sumati Kumari Panda, Anurag Shukla, Kottakkaran Sooppy Nisar

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引用次数: 0

摘要

本文研究了半变分不等式对Caputo分数阶微分系统近似可控性的影响。利用多值映射、(P， η， r， γ)型扇形算子、分数阶微积分和不动点定理对本文的主要研究结果进行了检验。首先，我们引入分数阶半变分不等式的温和解的思想。其次，建立了半线性控制问题的近似可控性结果。此外，我们将继续讨论涉及非局部条件的系统。最后，给出了一个例子来支持我们得到的主要结果。

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An analysis on the approximate controllability results for Caputo fractional hemivariational inequalities of order 1 < r < 2 using sectorial operators

In this paper, we investigate the effect of hemivariational inequalities on the approximate controllability of Caputo fractional differential systems. The main results of this study are tested by using multivalued maps, sectorial operators of type (P, η, r, γ ), fractional calculus, and the fixed point theorem. Initially, we introduce the idea of mild solution for fractional hemivariational inequalities. Next, the approximate controllability results of semilinear control problems were then established. Moreover, we will move on to the system involving nonlocal conditions. Finally, an example is provided in support of the main results we acquired.

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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.