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Open AccessArticle

Multi-Term Fractional Degenerate Evolution Equations and Optimal Control Problems

1
Department of Computational Mechanics, South Ural State University (National Research University), Lenin Av. 76, Chelyabinsk 454001, Russia
2
Department of Mathematical Analysis, Chelyabinsk State University, Kashirin Brothers St. 129, Chelyabinsk 454001, Russia
*
Author to whom correspondence should be addressed.
Mathematics 2020, 8(4), 483; https://doi.org/10.3390/math8040483
Received: 5 February 2020 / Revised: 15 March 2020 / Accepted: 17 March 2020 / Published: 1 April 2020
(This article belongs to the Special Issue Direct and Inverse Problems for Fractional Differential Equations)
A theorem on unique solvability in the sense of the strong solutions is proved for a class of degenerate multi-term fractional equations in Banach spaces. It applies to the deriving of the conditions on unique solution existence for an optimal control problem to the corresponding equation. Obtained results are used to an optimal control problem study for a model system which is described by an initial-boundary value problem for a partial differential equation. View Full-Text
Keywords: fractional derivative; multi-term fractional equation; degenerate evolution equation; optimal control fractional derivative; multi-term fractional equation; degenerate evolution equation; optimal control
MDPI and ACS Style

Plekhanova, M.; Baybulatova, G. Multi-Term Fractional Degenerate Evolution Equations and Optimal Control Problems. Mathematics 2020, 8, 483.

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