BOUNDARY CONTROLLABILITY FOR THE TIME-FRACTIONAL NONLINEAR KORTEWEG-DE VRIES (KDV) EQUATION

Jingqun Wang; Lixin Tian

doi:10.11948/20180018

2020 Volume 10 Issue 2

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Jingqun Wang, Lixin Tian. BOUNDARY CONTROLLABILITY FOR THE TIME-FRACTIONAL NONLINEAR KORTEWEG-DE VRIES (KDV) EQUATION[J]. Journal of Applied Analysis & Computation, 2020, 10(2): 411-426. doi: 10.11948/20180018

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Jingqun Wang, Lixin Tian. BOUNDARY CONTROLLABILITY FOR THE TIME-FRACTIONAL NONLINEAR KORTEWEG-DE VRIES (KDV) EQUATION[J]. Journal of Applied Analysis & Computation, 2020, 10(2): 411-426. doi: 10.11948/20180018

BOUNDARY CONTROLLABILITY FOR THE TIME-FRACTIONAL NONLINEAR KORTEWEG-DE VRIES (KDV) EQUATION

Jingqun Wang¹,
Lixin Tian^2, ,

1.
School of Mathematics and Statistics, Changshu Institute of Technology, Jiangsu, Hu-shan Road, 215500, China
2.
School of Mathematical Sciences, Nanjing Normal University, Nanjing, Wenyuan Road, 210023, China

Corresponding author: Email address:tianlx@ujs.edu.cn(L. Tian)
Fund Project: This research was supported by the National Nature Science Foundation of China (Nos. 71690242, 91546118, 11731014)

Abstract

Abstract

In this paper, we study the time-fractional nonlinear Korteweg-de Vries (KdV) equation. By using the theory of semigroups, we prove the well-posedness of the time-fractional nonlinear KdV equation. Moreover, we present the boundary controllability result for the problem.
- Nonlinear time-fractional Korteweg-de Vries (KdV) equation /
- wellposedness /
- boundary controllability
MSC: 93B05, 35Q53

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References

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