Multi-Term Fractional Degenerate Evolution Equations and Optimal Control Problems

Marina Plekhanova and Guzel Baybulatova
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Marina Plekhanova: Department of Computational Mechanics, South Ural State University (National Research University), Lenin Av. 76, Chelyabinsk 454001, Russia
Guzel Baybulatova: Department of Mathematical Analysis, Chelyabinsk State University, Kashirin Brothers St. 129, Chelyabinsk 454001, Russia

Mathematics, 2020, vol. 8, issue 4, 1-9

Abstract: 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.

Keywords: fractional derivative; multi-term fractional equation; degenerate evolution equation; optimal control (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2020
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