This article is cited in 6 papers

Mathematics

Solvability of control problems for degenerate evolution equations of fractional order

M. V. Plekhanova<sup>ab

a</sup> Chelyabinsk State University, Chelyabinsk, Russia
^b South Ural State University (National Research University), Chelyabinsk, Russia

Abstract: Solvability conditions are found for optimal control problems with various goal functionals for the distributed systems described by both linear and nonlinear equations not resolved with respect to the fractional time derivative of Gerasimov — Kaputo. Abstract results are applied for the research of optimal control problem to the equations system of the dynamics of the fractional viscoelastic Kelvin — Voigt body.

Keywords: optimal control, distributed control system, degenerate evolution equation, Gerasimov — Caputo fractional derivative.

UDC: 517.977

Received: 30.01.2017
Revised: 20.03.2017

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