EXACT NULL CONTROLLABILITY OF A FRACTIONAL NONLOCAL DELAY EVOLUTION SYSTEM

Shouguo Zhu; Gang Li

doi:10.11948/20240438

2025 Volume 15 Issue 4

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Shouguo Zhu, Gang Li. EXACT NULL CONTROLLABILITY OF A FRACTIONAL NONLOCAL DELAY EVOLUTION SYSTEM[J]. Journal of Applied Analysis & Computation, 2025, 15(4): 2285-2300. doi: 10.11948/20240438

Citation:

Shouguo Zhu, Gang Li. EXACT NULL CONTROLLABILITY OF A FRACTIONAL NONLOCAL DELAY EVOLUTION SYSTEM[J]. Journal of Applied Analysis & Computation, 2025, 15(4): 2285-2300. doi: 10.11948/20240438

EXACT NULL CONTROLLABILITY OF A FRACTIONAL NONLOCAL DELAY EVOLUTION SYSTEM

Shouguo Zhu^1, ,,
Gang Li^2,

1.
Wuxi Institute of Technology, Wuxi 214121, China
2.
School of Mathematical Sciences, Yangzhou University, Yangzhou 225002, China

Author Bio: Email: gli@yzu.edu.cn(G. Li)
Corresponding author: Email: sgzhu2015@163.com (S. Zhu)
Fund Project: The work is supported by the NSF of China (11871064, 11771378), the NSF of the Jiangsu Higher Education Institutions (18KJB110019, 22KJB110024) and the key project of Wuxi Institute of Technology (JC2024-02)

Abstract

Abstract

We delve into the exact null controllability problem of a fractional nonlocal weighted delay abstract system. For this strategy, we launch the resolvent trick and the approximation solvability method to construct control-state approximation sequence pairs twice to explore the problem without involving the compactness of semigroups and nonlocal items and the Lipschitz restriction on nonlinear terms and nonlocal parts or the noncompactness measure condition. Our work extends and generalizes previous results about exact null controllability problems of all evolution systems. Moreover, a significant diffusion model is displayed to show the applicability and validity of our mentioned outcomes. Finally, the conclusion of this paper is offered.
- φ-Riemann-Liouville fractional derivatives /
- exact null controllability /
- nonlocal conditions /
- approximation solvability method
MSC: 34K37, 47D99, 93B05

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References

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