OPTIMAL INITIAL VALUE CONTROL FOR THE MULTI-TERM TIME-FRACTIONAL DIFFUSION EQUATION

被引：0
|
作者：
Veklych, R. A. [1 ]
Semenov, V. V. [1 ]
Lyashko, S. I. [1 ]
机构：
[1] Taras Shevchenko Natl Univ Kyiv, Kiev, Ukraine
来源：
PROBLEMS OF ATOMIC SCIENCE AND TECHNOLOGY | 2016年 / 06期
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D O I：
暂无
中图分类号：
O57 [原子核物理学、高能物理学];
学科分类号：
070202 ;
摘要：
In this paper an initial value control problem with a quadratic cost function is considered for a system governed by a diffusion equation with a linear combination of Caputo time-fractional derivatives in an open bounded domain. We show the existence of the optimal solution by proving the existence of the weakly convergent minimization sequence satisfying the state equation. The uniqueness follows directly from the strong convexity of the cost function.
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页码：100 / 103
页数：4
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