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Multi-Term Fractional Degenerate Evolution Equations and Optimal Control Problems

Author

Listed:
  • Marina Plekhanova

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

  • Guzel Baybulatova

    (Department of Mathematical Analysis, Chelyabinsk State University, Kashirin Brothers St. 129, Chelyabinsk 454001, Russia)

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.

Suggested Citation

  • Marina Plekhanova & Guzel Baybulatova, 2020. "Multi-Term Fractional Degenerate Evolution Equations and Optimal Control Problems," Mathematics, MDPI, vol. 8(4), pages 1-9, April.
    • Handle: RePEc:gam:jmathe:v:8:y:2020:i:4:p:483-:d:340034
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    References listed on IDEAS

    as
    1. Dumitru Baleanu & Arran Fernandez, 2019. "On Fractional Operators and Their Classifications," Mathematics, MDPI, vol. 7(9), pages 1-10, September.
    2. Dumitru Baleanu & Vladimir E. Fedorov & Dmitriy M. Gordievskikh & Kenan Taş, 2019. "Approximate Controllability of Infinite-Dimensional Degenerate Fractional Order Systems in the Sectorial Case," Mathematics, MDPI, vol. 7(8), pages 1-15, August.
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