期刊论文详细信息
Advances in Difference Equations | |
Low-regret control for a fractional wave equation with incomplete data | |
Dumitru Baleanu3  Gisle Mophou4  Claire Joseph6  | |
[1] des Antilles et de la Guyane, Pointe-à-Pitre, France;Department of Mathematics, Faculty of Arts and Sciences, ÇInstitute of Space Sciences, Magurele-Bucharest, Romania;Universitéankaya University, Ankara, Turkey | |
关键词: Riemann-Liouville fractional derivative; Caputo fractional derivative; optimal control; no-regret control; low-regret control; | |
DOI : 10.1186/s13662-016-0970-8 | |
学科分类:数学(综合) | |
来源: SpringerOpen | |
【 摘 要 】
We investigate in this manuscript an optimal control problem for a fractional wave equation involving the fractional Riemann-Liouville derivative and with missing initial condition. For this purpose, we use the concept of no-regret and low-regret controls. Assuming that the missing datum belongs to a certain space we show the existence and the uniqueness of the low-regret control. Besides, its convergence to the no-regret control is discussed together with the optimality system describing the no-regret control.
【 授权许可】
CC BY
【 预 览 】
Files | Size | Format | View |
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RO201904026790601ZK.pdf | 1630KB | download |