Effects of fractional derivative and Wiener process on approximate boundary controllability of differential inclusion

IF 1.7 4区 数学 Q1 Mathematics
Noorah Mshary, Hamdy M. Ahmed, Ahmed S. Ghanem
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引用次数: 0

Abstract

One of the core concepts of contemporary control theory is the idea that a dynamical system can be controlled. Several abstract settings have been developed to describe the distributed control systems in a domain in which the control is acted through the boundary. In this manuscript, we investigate the boundary approximate controllability (ABC) of stochastic differential inclusion (SDI) with Hilfer fractional derivative (HFD) and nonlocal condition by implementing the principle of stochastic analysis, the fixed-point theorem, fractional calculus and multi-valued map. Moreover, an example is offered to define the primary results.
分数导数和维纳过程对微分包络近似边界可控性的影响
当代控制理论的核心概念之一是动态系统可以被控制。人们提出了一些抽象的设定来描述分布式控制系统,在这些系统中,控制是通过边界进行的。在本手稿中,我们通过实施随机分析原理、定点定理、分数微积分和多值映射,研究了具有希尔费分数导数(HFD)和非局部条件的随机微分包含(SDI)的边界近似可控性(ABC)。此外,还提供了一个定义主要结果的示例。
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来源期刊
Boundary Value Problems
Boundary Value Problems MATHEMATICS, APPLIED-MATHEMATICS
CiteScore
3.00
自引率
5.90%
发文量
83
审稿时长
4 months
期刊介绍: The main aim of Boundary Value Problems is to provide a forum to promote, encourage, and bring together various disciplines which use the theory, methods, and applications of boundary value problems. Boundary Value Problems will publish very high quality research articles on boundary value problems for ordinary, functional, difference, elliptic, parabolic, and hyperbolic differential equations. Articles on singular, free, and ill-posed boundary value problems, and other areas of abstract and concrete analysis are welcome. In addition to regular research articles, Boundary Value Problems will publish review articles.
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