Finite-Approximate Controllability of <mml:semantics>ν</mml:semantics>-Caputo Fractional Systems

被引：1

作者：

Awadalla, Muath ^{[1
]}

Mahmudov, Nazim I. ^{[2
,3
]}

Alahmadi, Jihan ^{[4
]}

机构：

[1] King Faisal Univ, Coll Sci, Dept Math & Stat, Hafuf 31982, Saudi Arabia

[2] Eastern Mediterranean Univ, Dept Math, TR-99628 Famagusta, Turkiye

[3] Azerbaijan State Univ Econ UNEC, Res Ctr Econophys, Istiqlaliyyat Str 6, Baku 1001, Azerbaijan

[4] Prince Sattam Bin Abdulaziz Univ, Coll Sci & Humanities Al Kharj, Dept Math, Al Kharj 11942, Saudi Arabia

来源：

FRACTAL AND FRACTIONAL | 2024年 / 8卷 / 01期

关键词：

controllability; fixed point theorems; nu-caputo fractional system; EVOLUTION-EQUATIONS; ORDER;

D O I：

10.3390/fractalfract8010021

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper introduces a methodology for examining finite-approximate controllability in Hilbert spaces for linear/semilinear nu-Caputo fractional evolution equations. A novel criterion for achieving finite-approximate controllability in linear nu-Caputo fractional evolution equations is established, utilizing resolvent-like operators. Additionally, we identify a control strategy that not only satisfies the approximative controllability property but also ensures exact finite-dimensional controllability. Leveraging the approximative controllability of the corresponding linear nu-Caputo fractional evolution system, we establish sufficient conditions for achieving finite-approximative controllability in the semilinear nu-Caputo fractional evolution equation. These findings extend and build upon recent advancements in this field. The paper also explores applications to nu-Caputo fractional heat equations.

引用

页数：16

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