OPTIMAL CONTROL PROBLEMS FOR SPACE-FRACTIONAL WAVE EQUATIONS

Xia Zhang; Khattak Shahzad; Yongqiang Fu

doi:10.11948/20190322

2021 Volume 11 Issue 2

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Xia Zhang, Khattak Shahzad, Yongqiang Fu. OPTIMAL CONTROL PROBLEMS FOR SPACE-FRACTIONAL WAVE EQUATIONS[J]. Journal of Applied Analysis & Computation, 2021, 11(2): 711-727. doi: 10.11948/20190322

Citation:

Xia Zhang, Khattak Shahzad, Yongqiang Fu. OPTIMAL CONTROL PROBLEMS FOR SPACE-FRACTIONAL WAVE EQUATIONS[J]. Journal of Applied Analysis & Computation, 2021, 11(2): 711-727. doi: 10.11948/20190322

OPTIMAL CONTROL PROBLEMS FOR SPACE-FRACTIONAL WAVE EQUATIONS

1.
School of Mathematics, Harbin Institute of Technology, Harbin, China

Corresponding author: Email: fuyongqiang@hit.edu.cn(Y. Fu)
Fund Project: The authors were supported by National Natural Science Foundation of China (Grant Nos.11771107, 11671111, 11871177)

Abstract

Abstract

In this paper, we study an optimal control problem for a spacefractional wave equation.First, we show the existence and uniqueness of weak solution by Galërkin approximate method.Then, we obtain an optimal control for the optimal control problem.
- Optimal control /
- space-fractional wave equation /
- fractional Sobolev spaces
MSC: 35R11, 49J20

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References

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