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

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...

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Bibliographic Details
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
Series:Вопросы атомной науки и техники
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Online Access:http://dspace.nbuv.gov.ua/handle/123456789/115327
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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.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine