Optimal initial value control for the multi-term time-fractional diffusion equation

• Published in: Вопросы атомной науки и техники
• Date: 2016
• Main Authors: Veklych, R.A., Semenov, V.V., Lyashko, S.I.
• Format: Article
• Language: English
• Published: Національний науковий центр «Харківський фізико-технічний інститут» НАН України 2016
• Subjects: Basic plasma
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/115327
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Optimal initial value control for the multi-term time-fractional diffusion equation / R.A. Veklych, V.V. Semenov, S.I. Lyashko // Вопросы атомной науки и техники. — 2016. — № 6. — С. 100-103. — Бібліогр.: 8 назв. — англ.

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 existenc...